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Finding the Third Proportional to 32,821,854 and 71,423,214

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Solution

The third proportional to 32,821,854 and 71,423,214 is: 155,423,136.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,821,854 : 71,423,214 = 71,423,214 : x
  2. Step 2: Convert to fraction form
    32,821,854/71,423,214 = 71,423,214/x
  3. Step 3: Cross multiply
    32,821,854x = 71,423,214 × 71,423,214
  4. Step 4: Simplify right side
    32,821,854x = 5,101,275,498,089,796
  5. Step 5: Solve for x
    x = 5,101,275,498,089,796/32,821,854
  6. Step 6: Final answer
    x = 155,423,136.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.