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Finding the Third Proportional to 566,894,217.80 and 880,188,181.38

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Solution

The third proportional to 566,894,217.80 and 880,188,181.38 is: 1,366,623,984.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,894,217.80 : 880,188,181.38 = 880,188,181.38 : x
  2. Step 2: Convert to fraction form
    566,894,217.80/880,188,181.38 = 880,188,181.38/x
  3. Step 3: Cross multiply
    566,894,217.80x = 880,188,181.38 × 880,188,181.38
  4. Step 4: Simplify right side
    566,894,217.80x = 774,731,234,645,996,032
  5. Step 5: Solve for x
    x = 774,731,234,645,996,032/566,894,217.80
  6. Step 6: Final answer
    x = 1,366,623,984.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.