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Finding the Third Proportional to 2,122,039,350 and 4,566,564,972

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Solution

The third proportional to 2,122,039,350 and 4,566,564,972 is: 9,827,110,719.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122,039,350 : 4,566,564,972 = 4,566,564,972 : x
  2. Step 2: Convert to fraction form
    2,122,039,350/4,566,564,972 = 4,566,564,972/x
  3. Step 3: Cross multiply
    2,122,039,350x = 4,566,564,972 × 4,566,564,972
  4. Step 4: Simplify right side
    2,122,039,350x = 20,853,515,643,497,361,408
  5. Step 5: Solve for x
    x = 20,853,515,643,497,361,408/2,122,039,350
  6. Step 6: Final answer
    x = 9,827,110,719.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.