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Finding the Third Proportional to 53,692,067,430 and 80,762,265,486

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Solution

The third proportional to 53,692,067,430 and 80,762,265,486 is: 121,480,580,626.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,692,067,430 : 80,762,265,486 = 80,762,265,486 : x
  2. Step 2: Convert to fraction form
    53,692,067,430/80,762,265,486 = 80,762,265,486/x
  3. Step 3: Cross multiply
    53,692,067,430x = 80,762,265,486 × 80,762,265,486
  4. Step 4: Simplify right side
    53,692,067,430x = 6,522,543,526,431,146,639,360
  5. Step 5: Solve for x
    x = 6,522,543,526,431,146,639,360/53,692,067,430
  6. Step 6: Final answer
    x = 121,480,580,626.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.