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Finding the Third Proportional to 9,747,060 and 15,153,672

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Solution

The third proportional to 9,747,060 and 15,153,672 is: 23,559,286.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747,060 : 15,153,672 = 15,153,672 : x
  2. Step 2: Convert to fraction form
    9,747,060/15,153,672 = 15,153,672/x
  3. Step 3: Cross multiply
    9,747,060x = 15,153,672 × 15,153,672
  4. Step 4: Simplify right side
    9,747,060x = 229,633,775,083,584
  5. Step 5: Solve for x
    x = 229,633,775,083,584/9,747,060
  6. Step 6: Final answer
    x = 23,559,286.09

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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.