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Finding the Third Proportional to 1,618,013,364,243 and 3,520,862,259,498

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Solution

The third proportional to 1,618,013,364,243 and 3,520,862,259,498 is: 7,661,538,108,591.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618,013,364,243 : 3,520,862,259,498 = 3,520,862,259,498 : x
  2. Step 2: Convert to fraction form
    1,618,013,364,243/3,520,862,259,498 = 3,520,862,259,498/x
  3. Step 3: Cross multiply
    1,618,013,364,243x = 3,520,862,259,498 × 3,520,862,259,498
  4. Step 4: Simplify right side
    1,618,013,364,243x = 12,396,471,050,357,362,430,836,736
  5. Step 5: Solve for x
    x = 12,396,471,050,357,362,430,836,736/1,618,013,364,243
  6. Step 6: Final answer
    x = 7,661,538,108,591.05

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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.