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Finding the Third Proportional to 9,947,259 and 15,817,624.50

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Solution

The third proportional to 9,947,259 and 15,817,624.50 is: 25,152,380.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947,259 : 15,817,624.50 = 15,817,624.50 : x
  2. Step 2: Convert to fraction form
    9,947,259/15,817,624.50 = 15,817,624.50/x
  3. Step 3: Cross multiply
    9,947,259x = 15,817,624.50 × 15,817,624.50
  4. Step 4: Simplify right side
    9,947,259x = 250,197,244,823,000.25
  5. Step 5: Solve for x
    x = 250,197,244,823,000.25/9,947,259
  6. Step 6: Final answer
    x = 25,152,380.65

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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.