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Finding the Third Proportional to 34,442,039,076 and 53,911,198,053

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Solution

The third proportional to 34,442,039,076 and 53,911,198,053 is: 84,385,749,319.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,442,039,076 : 53,911,198,053 = 53,911,198,053 : x
  2. Step 2: Convert to fraction form
    34,442,039,076/53,911,198,053 = 53,911,198,053/x
  3. Step 3: Cross multiply
    34,442,039,076x = 53,911,198,053 × 53,911,198,053
  4. Step 4: Simplify right side
    34,442,039,076x = 2,906,417,275,509,790,998,528
  5. Step 5: Solve for x
    x = 2,906,417,275,509,790,998,528/34,442,039,076
  6. Step 6: Final answer
    x = 84,385,749,319.21

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