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Finding the Third Proportional to 501,381,909 and 1,099,619,082

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Solution

The third proportional to 501,381,909 and 1,099,619,082 is: 2,411,658,864.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,381,909 : 1,099,619,082 = 1,099,619,082 : x
  2. Step 2: Convert to fraction form
    501,381,909/1,099,619,082 = 1,099,619,082/x
  3. Step 3: Cross multiply
    501,381,909x = 1,099,619,082 × 1,099,619,082
  4. Step 4: Simplify right side
    501,381,909x = 1,209,162,125,498,522,624
  5. Step 5: Solve for x
    x = 1,209,162,125,498,522,624/501,381,909
  6. Step 6: Final answer
    x = 2,411,658,864.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.