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Finding the Third Proportional to 8,131,585 and 10,840,641

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Solution

The third proportional to 8,131,585 and 10,840,641 is: 14,452,225.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131,585 : 10,840,641 = 10,840,641 : x
  2. Step 2: Convert to fraction form
    8,131,585/10,840,641 = 10,840,641/x
  3. Step 3: Cross multiply
    8,131,585x = 10,840,641 × 10,840,641
  4. Step 4: Simplify right side
    8,131,585x = 117,519,497,290,881
  5. Step 5: Solve for x
    x = 117,519,497,290,881/8,131,585
  6. Step 6: Final answer
    x = 14,452,225.16

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.