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Finding the Third Proportional to 714,956,976 and 1,542,778,584

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Solution

The third proportional to 714,956,976 and 1,542,778,584 is: 3,329,103,483.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,956,976 : 1,542,778,584 = 1,542,778,584 : x
  2. Step 2: Convert to fraction form
    714,956,976/1,542,778,584 = 1,542,778,584/x
  3. Step 3: Cross multiply
    714,956,976x = 1,542,778,584 × 1,542,778,584
  4. Step 4: Simplify right side
    714,956,976x = 2,380,165,759,249,044,992
  5. Step 5: Solve for x
    x = 2,380,165,759,249,044,992/714,956,976
  6. Step 6: Final answer
    x = 3,329,103,483.35

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.