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Finding the Third Proportional to 215,618,363 and 469,015,294

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Solution

The third proportional to 215,618,363 and 469,015,294 is: 1,020,206,919.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,618,363 : 469,015,294 = 469,015,294 : x
  2. Step 2: Convert to fraction form
    215,618,363/469,015,294 = 469,015,294/x
  3. Step 3: Cross multiply
    215,618,363x = 469,015,294 × 469,015,294
  4. Step 4: Simplify right side
    215,618,363x = 219,975,346,005,906,432
  5. Step 5: Solve for x
    x = 219,975,346,005,906,432/215,618,363
  6. Step 6: Final answer
    x = 1,020,206,919.97

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