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Finding the Third Proportional to 31,684,552.31 and 67,916,485.13

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Solution

The third proportional to 31,684,552.31 and 67,916,485.13 is: 145,580,373.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,684,552.31 : 67,916,485.13 = 67,916,485.13 : x
  2. Step 2: Convert to fraction form
    31,684,552.31/67,916,485.13 = 67,916,485.13/x
  3. Step 3: Cross multiply
    31,684,552.31x = 67,916,485.13 × 67,916,485.13
  4. Step 4: Simplify right side
    31,684,552.31x = 4,612,648,951,734,346
  5. Step 5: Solve for x
    x = 4,612,648,951,734,346/31,684,552.31
  6. Step 6: Final answer
    x = 145,580,373.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.