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Finding the Third Proportional to 2,199,292,169,326.90 and 4,734,704,644,215.80

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Solution

The third proportional to 2,199,292,169,326.90 and 4,734,704,644,215.80 is: 10,193,019,545,383.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199,292,169,326.90 : 4,734,704,644,215.80 = 4,734,704,644,215.80 : x
  2. Step 2: Convert to fraction form
    2,199,292,169,326.90/4,734,704,644,215.80 = 4,734,704,644,215.80/x
  3. Step 3: Cross multiply
    2,199,292,169,326.90x = 4,734,704,644,215.80 × 4,734,704,644,215.80
  4. Step 4: Simplify right side
    2,199,292,169,326.90x = 22,417,428,067,958,664,823,046,144
  5. Step 5: Solve for x
    x = 22,417,428,067,958,664,823,046,144/2,199,292,169,326.90
  6. Step 6: Final answer
    x = 10,193,019,545,383.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.