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Finding the Third Proportional to 9,767,144 and 14,358,387

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Solution

The third proportional to 9,767,144 and 14,358,387 is: 21,107,836.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767,144 : 14,358,387 = 14,358,387 : x
  2. Step 2: Convert to fraction form
    9,767,144/14,358,387 = 14,358,387/x
  3. Step 3: Cross multiply
    9,767,144x = 14,358,387 × 14,358,387
  4. Step 4: Simplify right side
    9,767,144x = 206,163,277,241,769
  5. Step 5: Solve for x
    x = 206,163,277,241,769/9,767,144
  6. Step 6: Final answer
    x = 21,107,836.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.