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Finding the Third Proportional to 6,904,374 and 10,356,567

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Solution

The third proportional to 6,904,374 and 10,356,567 is: 15,534,859.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904,374 : 10,356,567 = 10,356,567 : x
  2. Step 2: Convert to fraction form
    6,904,374/10,356,567 = 10,356,567/x
  3. Step 3: Cross multiply
    6,904,374x = 10,356,567 × 10,356,567
  4. Step 4: Simplify right side
    6,904,374x = 107,258,480,025,489
  5. Step 5: Solve for x
    x = 107,258,480,025,489/6,904,374
  6. Step 6: Final answer
    x = 15,534,859.50

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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.