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Finding the Third Proportional to 4,107,563 and 9,159,583

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Solution

The third proportional to 4,107,563 and 9,159,583 is: 20,425,240.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107,563 : 9,159,583 = 9,159,583 : x
  2. Step 2: Convert to fraction form
    4,107,563/9,159,583 = 9,159,583/x
  3. Step 3: Cross multiply
    4,107,563x = 9,159,583 × 9,159,583
  4. Step 4: Simplify right side
    4,107,563x = 83,897,960,733,889
  5. Step 5: Solve for x
    x = 83,897,960,733,889/4,107,563
  6. Step 6: Final answer
    x = 20,425,240.16

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.