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Finding the Third Proportional to 31,488,924 and 51,418,578

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Solution

The third proportional to 31,488,924 and 51,418,578 is: 83,961,908.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,488,924 : 51,418,578 = 51,418,578 : x
  2. Step 2: Convert to fraction form
    31,488,924/51,418,578 = 51,418,578/x
  3. Step 3: Cross multiply
    31,488,924x = 51,418,578 × 51,418,578
  4. Step 4: Simplify right side
    31,488,924x = 2,643,870,163,542,084
  5. Step 5: Solve for x
    x = 2,643,870,163,542,084/31,488,924
  6. Step 6: Final answer
    x = 83,961,908.75

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.