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Finding the Third Proportional to 7,419,298 and 16,107,587

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Solution

The third proportional to 7,419,298 and 16,107,587 is: 34,970,203.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,419,298 : 16,107,587 = 16,107,587 : x
  2. Step 2: Convert to fraction form
    7,419,298/16,107,587 = 16,107,587/x
  3. Step 3: Cross multiply
    7,419,298x = 16,107,587 × 16,107,587
  4. Step 4: Simplify right side
    7,419,298x = 259,454,358,962,569
  5. Step 5: Solve for x
    x = 259,454,358,962,569/7,419,298
  6. Step 6: Final answer
    x = 34,970,203.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.