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Finding the Third Proportional to 29,472,334,877 and 64,108,527,565

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Solution

The third proportional to 29,472,334,877 and 64,108,527,565 is: 139,449,532,034.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,472,334,877 : 64,108,527,565 = 64,108,527,565 : x
  2. Step 2: Convert to fraction form
    29,472,334,877/64,108,527,565 = 64,108,527,565/x
  3. Step 3: Cross multiply
    29,472,334,877x = 64,108,527,565 × 64,108,527,565
  4. Step 4: Simplify right side
    29,472,334,877x = 4,109,903,306,552,364,761,088
  5. Step 5: Solve for x
    x = 4,109,903,306,552,364,761,088/29,472,334,877
  6. Step 6: Final answer
    x = 139,449,532,034.18

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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.