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Finding the Third Proportional to 51,489,788.91 and 77,713,509.80

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Solution

The third proportional to 51,489,788.91 and 77,713,509.80 is: 117,292,957.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,489,788.91 : 77,713,509.80 = 77,713,509.80 : x
  2. Step 2: Convert to fraction form
    51,489,788.91/77,713,509.80 = 77,713,509.80/x
  3. Step 3: Cross multiply
    51,489,788.91x = 77,713,509.80 × 77,713,509.80
  4. Step 4: Simplify right side
    51,489,788.91x = 6,039,389,604,948,987
  5. Step 5: Solve for x
    x = 6,039,389,604,948,987/51,489,788.91
  6. Step 6: Final answer
    x = 117,292,957.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.