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Finding the Third Proportional to 53,013,086 and 82,039,062

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Solution

The third proportional to 53,013,086 and 82,039,062 is: 126,957,477.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,013,086 : 82,039,062 = 82,039,062 : x
  2. Step 2: Convert to fraction form
    53,013,086/82,039,062 = 82,039,062/x
  3. Step 3: Cross multiply
    53,013,086x = 82,039,062 × 82,039,062
  4. Step 4: Simplify right side
    53,013,086x = 6,730,407,693,839,844
  5. Step 5: Solve for x
    x = 6,730,407,693,839,844/53,013,086
  6. Step 6: Final answer
    x = 126,957,477.89

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.