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Finding the Third Proportional to 578,396,024 and 881,146,446

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Solution

The third proportional to 578,396,024 and 881,146,446 is: 1,342,365,830.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,396,024 : 881,146,446 = 881,146,446 : x
  2. Step 2: Convert to fraction form
    578,396,024/881,146,446 = 881,146,446/x
  3. Step 3: Cross multiply
    578,396,024x = 881,146,446 × 881,146,446
  4. Step 4: Simplify right side
    578,396,024x = 776,419,059,298,430,976
  5. Step 5: Solve for x
    x = 776,419,059,298,430,976/578,396,024
  6. Step 6: Final answer
    x = 1,342,365,830.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.