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Finding the Third Proportional to 4,107,506 and 9,159,463

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Solution

The third proportional to 4,107,506 and 9,159,463 is: 20,424,988.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107,506 : 9,159,463 = 9,159,463 : x
  2. Step 2: Convert to fraction form
    4,107,506/9,159,463 = 9,159,463/x
  3. Step 3: Cross multiply
    4,107,506x = 9,159,463 × 9,159,463
  4. Step 4: Simplify right side
    4,107,506x = 83,895,762,448,369
  5. Step 5: Solve for x
    x = 83,895,762,448,369/4,107,506
  6. Step 6: Final answer
    x = 20,424,988.41

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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.