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Finding the Third Proportional to 37,703,111 and 82,124,470

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Solution

The third proportional to 37,703,111 and 82,124,470 is: 178,882,548.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,703,111 : 82,124,470 = 82,124,470 : x
  2. Step 2: Convert to fraction form
    37,703,111/82,124,470 = 82,124,470/x
  3. Step 3: Cross multiply
    37,703,111x = 82,124,470 × 82,124,470
  4. Step 4: Simplify right side
    37,703,111x = 6,744,428,572,780,900
  5. Step 5: Solve for x
    x = 6,744,428,572,780,900/37,703,111
  6. Step 6: Final answer
    x = 178,882,548.25

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.