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Finding the Third Proportional to 7,367,180.34 and 15,497,864.16

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Solution

The third proportional to 7,367,180.34 and 15,497,864.16 is: 32,601,861.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,367,180.34 : 15,497,864.16 = 15,497,864.16 : x
  2. Step 2: Convert to fraction form
    7,367,180.34/15,497,864.16 = 15,497,864.16/x
  3. Step 3: Cross multiply
    7,367,180.34x = 15,497,864.16 × 15,497,864.16
  4. Step 4: Simplify right side
    7,367,180.34x = 240,183,793,405,578.53
  5. Step 5: Solve for x
    x = 240,183,793,405,578.53/7,367,180.34
  6. Step 6: Final answer
    x = 32,601,861.53

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.