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Finding the Third Proportional to 10,257,563 and 16,242,605

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Solution

The third proportional to 10,257,563 and 16,242,605 is: 25,719,775.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257,563 : 16,242,605 = 16,242,605 : x
  2. Step 2: Convert to fraction form
    10,257,563/16,242,605 = 16,242,605/x
  3. Step 3: Cross multiply
    10,257,563x = 16,242,605 × 16,242,605
  4. Step 4: Simplify right side
    10,257,563x = 263,822,217,186,025
  5. Step 5: Solve for x
    x = 263,822,217,186,025/10,257,563
  6. Step 6: Final answer
    x = 25,719,775.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.