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Finding the Third Proportional to 4,607,545,869,290 and 10,026,205,418,682

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Solution

The third proportional to 4,607,545,869,290 and 10,026,205,418,682 is: 21,817,426,879,593.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607,545,869,290 : 10,026,205,418,682 = 10,026,205,418,682 : x
  2. Step 2: Convert to fraction form
    4,607,545,869,290/10,026,205,418,682 = 10,026,205,418,682/x
  3. Step 3: Cross multiply
    4,607,545,869,290x = 10,026,205,418,682 × 10,026,205,418,682
  4. Step 4: Simplify right side
    4,607,545,869,290x = 100,524,795,097,608,305,508,352,000
  5. Step 5: Solve for x
    x = 100,524,795,097,608,305,508,352,000/4,607,545,869,290
  6. Step 6: Final answer
    x = 21,817,426,879,593.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.