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Finding the Third Proportional to 1,359,432,961 and 2,099,202,440

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Solution

The third proportional to 1,359,432,961 and 2,099,202,440 is: 3,241,536,001.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359,432,961 : 2,099,202,440 = 2,099,202,440 : x
  2. Step 2: Convert to fraction form
    1,359,432,961/2,099,202,440 = 2,099,202,440/x
  3. Step 3: Cross multiply
    1,359,432,961x = 2,099,202,440 × 2,099,202,440
  4. Step 4: Simplify right side
    1,359,432,961x = 4,406,650,884,101,953,536
  5. Step 5: Solve for x
    x = 4,406,650,884,101,953,536/1,359,432,961
  6. Step 6: Final answer
    x = 3,241,536,001.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.