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Finding the Third Proportional to 62,980,898,903 and 138,799,310,606

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Solution

The third proportional to 62,980,898,903 and 138,799,310,606 is: 305,890,340,726.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,980,898,903 : 138,799,310,606 = 138,799,310,606 : x
  2. Step 2: Convert to fraction form
    62,980,898,903/138,799,310,606 = 138,799,310,606/x
  3. Step 3: Cross multiply
    62,980,898,903x = 138,799,310,606 × 138,799,310,606
  4. Step 4: Simplify right side
    62,980,898,903x = 19,265,248,624,700,863,545,344
  5. Step 5: Solve for x
    x = 19,265,248,624,700,863,545,344/62,980,898,903
  6. Step 6: Final answer
    x = 305,890,340,726.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.