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Finding the Third Proportional to 5,649,445 and 7,253,767.50

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Solution

The third proportional to 5,649,445 and 7,253,767.50 is: 9,313,683.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649,445 : 7,253,767.50 = 7,253,767.50 : x
  2. Step 2: Convert to fraction form
    5,649,445/7,253,767.50 = 7,253,767.50/x
  3. Step 3: Cross multiply
    5,649,445x = 7,253,767.50 × 7,253,767.50
  4. Step 4: Simplify right side
    5,649,445x = 52,617,142,944,056.25
  5. Step 5: Solve for x
    x = 52,617,142,944,056.25/5,649,445
  6. Step 6: Final answer
    x = 9,313,683.55

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.