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Finding the Third Proportional to 4,869,005.24 and 7,598,291.54

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Solution

The third proportional to 4,869,005.24 and 7,598,291.54 is: 11,857,459.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869,005.24 : 7,598,291.54 = 7,598,291.54 : x
  2. Step 2: Convert to fraction form
    4,869,005.24/7,598,291.54 = 7,598,291.54/x
  3. Step 3: Cross multiply
    4,869,005.24x = 7,598,291.54 × 7,598,291.54
  4. Step 4: Simplify right side
    4,869,005.24x = 57,734,034,282,902.24
  5. Step 5: Solve for x
    x = 57,734,034,282,902.24/4,869,005.24
  6. Step 6: Final answer
    x = 11,857,459.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.