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Finding the Third Proportional to 32,481,377.16 and 67,649,535.07

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Solution

The third proportional to 32,481,377.16 and 67,649,535.07 is: 140,894,875.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,481,377.16 : 67,649,535.07 = 67,649,535.07 : x
  2. Step 2: Convert to fraction form
    32,481,377.16/67,649,535.07 = 67,649,535.07/x
  3. Step 3: Cross multiply
    32,481,377.16x = 67,649,535.07 × 67,649,535.07
  4. Step 4: Simplify right side
    32,481,377.16x = 4,576,459,595,229,372
  5. Step 5: Solve for x
    x = 4,576,459,595,229,372/32,481,377.16
  6. Step 6: Final answer
    x = 140,894,875.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.