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Finding the Third Proportional to 1,539,692,168 and 2,224,589,772

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Solution

The third proportional to 1,539,692,168 and 2,224,589,772 is: 3,214,148,747.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539,692,168 : 2,224,589,772 = 2,224,589,772 : x
  2. Step 2: Convert to fraction form
    1,539,692,168/2,224,589,772 = 2,224,589,772/x
  3. Step 3: Cross multiply
    1,539,692,168x = 2,224,589,772 × 2,224,589,772
  4. Step 4: Simplify right side
    1,539,692,168x = 4,948,799,653,687,012,352
  5. Step 5: Solve for x
    x = 4,948,799,653,687,012,352/1,539,692,168
  6. Step 6: Final answer
    x = 3,214,148,747.74

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.