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Finding the Third Proportional to 1,618,013,364,239.90 and 3,520,862,259,492.30

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Solution

The third proportional to 1,618,013,364,239.90 and 3,520,862,259,492.30 is: 7,661,538,108,580.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618,013,364,239.90 : 3,520,862,259,492.30 = 3,520,862,259,492.30 : x
  2. Step 2: Convert to fraction form
    1,618,013,364,239.90/3,520,862,259,492.30 = 3,520,862,259,492.30/x
  3. Step 3: Cross multiply
    1,618,013,364,239.90x = 3,520,862,259,492.30 × 3,520,862,259,492.30
  4. Step 4: Simplify right side
    1,618,013,364,239.90x = 12,396,471,050,317,221,666,488,320
  5. Step 5: Solve for x
    x = 12,396,471,050,317,221,666,488,320/1,618,013,364,239.90
  6. Step 6: Final answer
    x = 7,661,538,108,580.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.