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Finding the Third Proportional to 7,138,297 and 10,874,746

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Solution

The third proportional to 7,138,297 and 10,874,746 is: 16,566,990.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138,297 : 10,874,746 = 10,874,746 : x
  2. Step 2: Convert to fraction form
    7,138,297/10,874,746 = 10,874,746/x
  3. Step 3: Cross multiply
    7,138,297x = 10,874,746 × 10,874,746
  4. Step 4: Simplify right side
    7,138,297x = 118,260,100,564,516
  5. Step 5: Solve for x
    x = 118,260,100,564,516/7,138,297
  6. Step 6: Final answer
    x = 16,566,990.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.