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Finding the Third Proportional to 32,050,802 and 75,584,021

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Solution

The third proportional to 32,050,802 and 75,584,021 is: 178,246,529.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,050,802 : 75,584,021 = 75,584,021 : x
  2. Step 2: Convert to fraction form
    32,050,802/75,584,021 = 75,584,021/x
  3. Step 3: Cross multiply
    32,050,802x = 75,584,021 × 75,584,021
  4. Step 4: Simplify right side
    32,050,802x = 5,712,944,230,528,441
  5. Step 5: Solve for x
    x = 5,712,944,230,528,441/32,050,802
  6. Step 6: Final answer
    x = 178,246,529.70

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.