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Finding the Third Proportional to 5,146,285 and 7,569,739

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Solution

The third proportional to 5,146,285 and 7,569,739 is: 11,134,429.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146,285 : 7,569,739 = 7,569,739 : x
  2. Step 2: Convert to fraction form
    5,146,285/7,569,739 = 7,569,739/x
  3. Step 3: Cross multiply
    5,146,285x = 7,569,739 × 7,569,739
  4. Step 4: Simplify right side
    5,146,285x = 57,300,948,528,121
  5. Step 5: Solve for x
    x = 57,300,948,528,121/5,146,285
  6. Step 6: Final answer
    x = 11,134,429.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.