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Finding the Third Proportional to 14,542,289 and 22,548,320

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Solution

The third proportional to 14,542,289 and 22,548,320 is: 34,961,946.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,542,289 : 22,548,320 = 22,548,320 : x
  2. Step 2: Convert to fraction form
    14,542,289/22,548,320 = 22,548,320/x
  3. Step 3: Cross multiply
    14,542,289x = 22,548,320 × 22,548,320
  4. Step 4: Simplify right side
    14,542,289x = 508,426,734,822,400
  5. Step 5: Solve for x
    x = 508,426,734,822,400/14,542,289
  6. Step 6: Final answer
    x = 34,961,946.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.