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Finding the Third Proportional to 31,691,592 and 69,458,670

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Solution

The third proportional to 31,691,592 and 69,458,670 is: 152,233,022.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,691,592 : 69,458,670 = 69,458,670 : x
  2. Step 2: Convert to fraction form
    31,691,592/69,458,670 = 69,458,670/x
  3. Step 3: Cross multiply
    31,691,592x = 69,458,670 × 69,458,670
  4. Step 4: Simplify right side
    31,691,592x = 4,824,506,838,168,900
  5. Step 5: Solve for x
    x = 4,824,506,838,168,900/31,691,592
  6. Step 6: Final answer
    x = 152,233,022.51

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