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Finding the Third Proportional to 20,174,416 and 41,784,340

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Solution

The third proportional to 20,174,416 and 41,784,340 is: 86,541,839.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,174,416 : 41,784,340 = 41,784,340 : x
  2. Step 2: Convert to fraction form
    20,174,416/41,784,340 = 41,784,340/x
  3. Step 3: Cross multiply
    20,174,416x = 41,784,340 × 41,784,340
  4. Step 4: Simplify right side
    20,174,416x = 1,745,931,069,235,600
  5. Step 5: Solve for x
    x = 1,745,931,069,235,600/20,174,416
  6. Step 6: Final answer
    x = 86,541,839.39

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.