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Finding the Third Proportional to 9,592,767 and 14,744,943

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Solution

The third proportional to 9,592,767 and 14,744,943 is: 22,664,299.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,592,767 : 14,744,943 = 14,744,943 : x
  2. Step 2: Convert to fraction form
    9,592,767/14,744,943 = 14,744,943/x
  3. Step 3: Cross multiply
    9,592,767x = 14,744,943 × 14,744,943
  4. Step 4: Simplify right side
    9,592,767x = 217,413,344,073,249
  5. Step 5: Solve for x
    x = 217,413,344,073,249/9,592,767
  6. Step 6: Final answer
    x = 22,664,299.47

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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.