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Finding the Third Proportional to 7,923,776 and 11,904,594

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Solution

The third proportional to 7,923,776 and 11,904,594 is: 17,885,331.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,923,776 : 11,904,594 = 11,904,594 : x
  2. Step 2: Convert to fraction form
    7,923,776/11,904,594 = 11,904,594/x
  3. Step 3: Cross multiply
    7,923,776x = 11,904,594 × 11,904,594
  4. Step 4: Simplify right side
    7,923,776x = 141,719,358,304,836
  5. Step 5: Solve for x
    x = 141,719,358,304,836/7,923,776
  6. Step 6: Final answer
    x = 17,885,331.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.