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Finding the Third Proportional to 67,265,511 and 145,687,746

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Solution

The third proportional to 67,265,511 and 145,687,746 is: 315,539,405.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,265,511 : 145,687,746 = 145,687,746 : x
  2. Step 2: Convert to fraction form
    67,265,511/145,687,746 = 145,687,746/x
  3. Step 3: Cross multiply
    67,265,511x = 145,687,746 × 145,687,746
  4. Step 4: Simplify right side
    67,265,511x = 21,224,919,334,560,516
  5. Step 5: Solve for x
    x = 21,224,919,334,560,516/67,265,511
  6. Step 6: Final answer
    x = 315,539,405.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.