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Finding the Third Proportional to 34,442,039,074 and 53,911,198,050

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Solution

The third proportional to 34,442,039,074 and 53,911,198,050 is: 84,385,749,314.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,442,039,074 : 53,911,198,050 = 53,911,198,050 : x
  2. Step 2: Convert to fraction form
    34,442,039,074/53,911,198,050 = 53,911,198,050/x
  3. Step 3: Cross multiply
    34,442,039,074x = 53,911,198,050 × 53,911,198,050
  4. Step 4: Simplify right side
    34,442,039,074x = 2,906,417,275,186,323,652,608
  5. Step 5: Solve for x
    x = 2,906,417,275,186,323,652,608/34,442,039,074
  6. Step 6: Final answer
    x = 84,385,749,314.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.