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Finding the Third Proportional to 6,101,540 and 13,375,312

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Solution

The third proportional to 6,101,540 and 13,375,312 is: 29,320,298.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101,540 : 13,375,312 = 13,375,312 : x
  2. Step 2: Convert to fraction form
    6,101,540/13,375,312 = 13,375,312/x
  3. Step 3: Cross multiply
    6,101,540x = 13,375,312 × 13,375,312
  4. Step 4: Simplify right side
    6,101,540x = 178,898,971,097,344
  5. Step 5: Solve for x
    x = 178,898,971,097,344/6,101,540
  6. Step 6: Final answer
    x = 29,320,298.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.