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Finding the Third Proportional to 1,562,452,432 and 2,127,793,559

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Solution

The third proportional to 1,562,452,432 and 2,127,793,559 is: 2,897,691,690.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562,452,432 : 2,127,793,559 = 2,127,793,559 : x
  2. Step 2: Convert to fraction form
    1,562,452,432/2,127,793,559 = 2,127,793,559/x
  3. Step 3: Cross multiply
    1,562,452,432x = 2,127,793,559 × 2,127,793,559
  4. Step 4: Simplify right side
    1,562,452,432x = 4,527,505,429,721,886,720
  5. Step 5: Solve for x
    x = 4,527,505,429,721,886,720/1,562,452,432
  6. Step 6: Final answer
    x = 2,897,691,690.96

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.