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Finding the Third Proportional to 7,243,767 and 15,351,120

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Solution

The third proportional to 7,243,767 and 15,351,120 is: 32,532,366.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243,767 : 15,351,120 = 15,351,120 : x
  2. Step 2: Convert to fraction form
    7,243,767/15,351,120 = 15,351,120/x
  3. Step 3: Cross multiply
    7,243,767x = 15,351,120 × 15,351,120
  4. Step 4: Simplify right side
    7,243,767x = 235,656,885,254,400
  5. Step 5: Solve for x
    x = 235,656,885,254,400/7,243,767
  6. Step 6: Final answer
    x = 32,532,366.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.