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Finding the Third Proportional to 2,365,283.91 and 5,178,355.78

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Solution

The third proportional to 2,365,283.91 and 5,178,355.78 is: 11,337,061.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365,283.91 : 5,178,355.78 = 5,178,355.78 : x
  2. Step 2: Convert to fraction form
    2,365,283.91/5,178,355.78 = 5,178,355.78/x
  3. Step 3: Cross multiply
    2,365,283.91x = 5,178,355.78 × 5,178,355.78
  4. Step 4: Simplify right side
    2,365,283.91x = 26,815,368,597,205.30
  5. Step 5: Solve for x
    x = 26,815,368,597,205.30/2,365,283.91
  6. Step 6: Final answer
    x = 11,337,061.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.