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Finding the Third Proportional to 29,155,442,080 and 43,542,110,064

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Solution

The third proportional to 29,155,442,080 and 43,542,110,064 is: 65,027,837,465.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,155,442,080 : 43,542,110,064 = 43,542,110,064 : x
  2. Step 2: Convert to fraction form
    29,155,442,080/43,542,110,064 = 43,542,110,064/x
  3. Step 3: Cross multiply
    29,155,442,080x = 43,542,110,064 × 43,542,110,064
  4. Step 4: Simplify right side
    29,155,442,080x = 1,895,915,348,825,490,063,360
  5. Step 5: Solve for x
    x = 1,895,915,348,825,490,063,360/29,155,442,080
  6. Step 6: Final answer
    x = 65,027,837,465.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.