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Finding the Third Proportional to 267,053,535 and 569,381,184

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Solution

The third proportional to 267,053,535 and 569,381,184 is: 1,213,969,823.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,053,535 : 569,381,184 = 569,381,184 : x
  2. Step 2: Convert to fraction form
    267,053,535/569,381,184 = 569,381,184/x
  3. Step 3: Cross multiply
    267,053,535x = 569,381,184 × 569,381,184
  4. Step 4: Simplify right side
    267,053,535x = 324,194,932,693,241,856
  5. Step 5: Solve for x
    x = 324,194,932,693,241,856/267,053,535
  6. Step 6: Final answer
    x = 1,213,969,823.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.