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Finding the Third Proportional to 9,947,306 and 15,817,749

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Solution

The third proportional to 9,947,306 and 15,817,749 is: 25,152,657.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947,306 : 15,817,749 = 15,817,749 : x
  2. Step 2: Convert to fraction form
    9,947,306/15,817,749 = 15,817,749/x
  3. Step 3: Cross multiply
    9,947,306x = 15,817,749 × 15,817,749
  4. Step 4: Simplify right side
    9,947,306x = 250,201,183,427,001
  5. Step 5: Solve for x
    x = 250,201,183,427,001/9,947,306
  6. Step 6: Final answer
    x = 25,152,657.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.