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Finding the Third Proportional to 7,413,708 and 16,102,563

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Solution

The third proportional to 7,413,708 and 16,102,563 is: 34,974,743.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413,708 : 16,102,563 = 16,102,563 : x
  2. Step 2: Convert to fraction form
    7,413,708/16,102,563 = 16,102,563/x
  3. Step 3: Cross multiply
    7,413,708x = 16,102,563 × 16,102,563
  4. Step 4: Simplify right side
    7,413,708x = 259,292,535,168,969
  5. Step 5: Solve for x
    x = 259,292,535,168,969/7,413,708
  6. Step 6: Final answer
    x = 34,974,743.43

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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.