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Finding the Third Proportional to 31,490,450,432 and 69,399,657,712

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Solution

The third proportional to 31,490,450,432 and 69,399,657,712 is: 152,945,176,219.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,490,450,432 : 69,399,657,712 = 69,399,657,712 : x
  2. Step 2: Convert to fraction form
    31,490,450,432/69,399,657,712 = 69,399,657,712/x
  3. Step 3: Cross multiply
    31,490,450,432x = 69,399,657,712 × 69,399,657,712
  4. Step 4: Simplify right side
    31,490,450,432x = 4,816,312,490,542,760,984,576
  5. Step 5: Solve for x
    x = 4,816,312,490,542,760,984,576/31,490,450,432
  6. Step 6: Final answer
    x = 152,945,176,219.15

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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.