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Finding the Third Proportional to 9,947,298 and 15,817,737

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Solution

The third proportional to 9,947,298 and 15,817,737 is: 25,152,639.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947,298 : 15,817,737 = 15,817,737 : x
  2. Step 2: Convert to fraction form
    9,947,298/15,817,737 = 15,817,737/x
  3. Step 3: Cross multiply
    9,947,298x = 15,817,737 × 15,817,737
  4. Step 4: Simplify right side
    9,947,298x = 250,200,803,801,169
  5. Step 5: Solve for x
    x = 250,200,803,801,169/9,947,298
  6. Step 6: Final answer
    x = 25,152,639.82

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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.