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Finding the Third Proportional to 31,488,980 and 51,418,668

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Solution

The third proportional to 31,488,980 and 51,418,668 is: 83,962,053.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,488,980 : 51,418,668 = 51,418,668 : x
  2. Step 2: Convert to fraction form
    31,488,980/51,418,668 = 51,418,668/x
  3. Step 3: Cross multiply
    31,488,980x = 51,418,668 × 51,418,668
  4. Step 4: Simplify right side
    31,488,980x = 2,643,879,418,894,224
  5. Step 5: Solve for x
    x = 2,643,879,418,894,224/31,488,980
  6. Step 6: Final answer
    x = 83,962,053.36

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Why These Related Problems?

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