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Finding the Third Proportional to 31,842,634 and 69,091,532

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Solution

The third proportional to 31,842,634 and 69,091,532 is: 149,913,471.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,842,634 : 69,091,532 = 69,091,532 : x
  2. Step 2: Convert to fraction form
    31,842,634/69,091,532 = 69,091,532/x
  3. Step 3: Cross multiply
    31,842,634x = 69,091,532 × 69,091,532
  4. Step 4: Simplify right side
    31,842,634x = 4,773,639,794,107,024
  5. Step 5: Solve for x
    x = 4,773,639,794,107,024/31,842,634
  6. Step 6: Final answer
    x = 149,913,471.17

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.