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Finding the Third Proportional to 7,285,742 and 10,869,564

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Solution

The third proportional to 7,285,742 and 10,869,564 is: 16,216,251.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,285,742 : 10,869,564 = 10,869,564 : x
  2. Step 2: Convert to fraction form
    7,285,742/10,869,564 = 10,869,564/x
  3. Step 3: Cross multiply
    7,285,742x = 10,869,564 × 10,869,564
  4. Step 4: Simplify right side
    7,285,742x = 118,147,421,550,096
  5. Step 5: Solve for x
    x = 118,147,421,550,096/7,285,742
  6. Step 6: Final answer
    x = 16,216,251.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.