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Finding the Third Proportional to 6,306,654 and 9,739,472

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Solution

The third proportional to 6,306,654 and 9,739,472 is: 15,040,830.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306,654 : 9,739,472 = 9,739,472 : x
  2. Step 2: Convert to fraction form
    6,306,654/9,739,472 = 9,739,472/x
  3. Step 3: Cross multiply
    6,306,654x = 9,739,472 × 9,739,472
  4. Step 4: Simplify right side
    6,306,654x = 94,857,314,838,784
  5. Step 5: Solve for x
    x = 94,857,314,838,784/6,306,654
  6. Step 6: Final answer
    x = 15,040,830.66

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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.