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Finding the Third Proportional to 41,132,319 and 83,701,143

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Solution

The third proportional to 41,132,319 and 83,701,143 is: 170,325,464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,132,319 : 83,701,143 = 83,701,143 : x
  2. Step 2: Convert to fraction form
    41,132,319/83,701,143 = 83,701,143/x
  3. Step 3: Cross multiply
    41,132,319x = 83,701,143 × 83,701,143
  4. Step 4: Simplify right side
    41,132,319x = 7,005,881,339,506,449
  5. Step 5: Solve for x
    x = 7,005,881,339,506,449/41,132,319
  6. Step 6: Final answer
    x = 170,325,464.50

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.