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Finding the Third Proportional to 7,602,912 and 15,744,791

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Solution

The third proportional to 7,602,912 and 15,744,791 is: 32,605,723.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602,912 : 15,744,791 = 15,744,791 : x
  2. Step 2: Convert to fraction form
    7,602,912/15,744,791 = 15,744,791/x
  3. Step 3: Cross multiply
    7,602,912x = 15,744,791 × 15,744,791
  4. Step 4: Simplify right side
    7,602,912x = 247,898,443,633,681
  5. Step 5: Solve for x
    x = 247,898,443,633,681/7,602,912
  6. Step 6: Final answer
    x = 32,605,723.13

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.