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Finding the Third Proportional to 9,307,542 and 14,301,549

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Solution

The third proportional to 9,307,542 and 14,301,549 is: 21,975,114.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307,542 : 14,301,549 = 14,301,549 : x
  2. Step 2: Convert to fraction form
    9,307,542/14,301,549 = 14,301,549/x
  3. Step 3: Cross multiply
    9,307,542x = 14,301,549 × 14,301,549
  4. Step 4: Simplify right side
    9,307,542x = 204,534,303,799,401
  5. Step 5: Solve for x
    x = 204,534,303,799,401/9,307,542
  6. Step 6: Final answer
    x = 21,975,114.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.