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Finding the Third Proportional to 1,359,432,920 and 2,099,202,359

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Solution

The third proportional to 1,359,432,920 and 2,099,202,359 is: 3,241,535,848.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359,432,920 : 2,099,202,359 = 2,099,202,359 : x
  2. Step 2: Convert to fraction form
    1,359,432,920/2,099,202,359 = 2,099,202,359/x
  3. Step 3: Cross multiply
    1,359,432,920x = 2,099,202,359 × 2,099,202,359
  4. Step 4: Simplify right side
    1,359,432,920x = 4,406,650,544,031,164,928
  5. Step 5: Solve for x
    x = 4,406,650,544,031,164,928/1,359,432,920
  6. Step 6: Final answer
    x = 3,241,535,848.66

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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.