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Finding the Third Proportional to 9,253,943 and 14,777,583

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Solution

The third proportional to 9,253,943 and 14,777,583 is: 23,598,260.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253,943 : 14,777,583 = 14,777,583 : x
  2. Step 2: Convert to fraction form
    9,253,943/14,777,583 = 14,777,583/x
  3. Step 3: Cross multiply
    9,253,943x = 14,777,583 × 14,777,583
  4. Step 4: Simplify right side
    9,253,943x = 218,376,959,321,889
  5. Step 5: Solve for x
    x = 218,376,959,321,889/9,253,943
  6. Step 6: Final answer
    x = 23,598,260.69

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.