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Finding the Third Proportional to 4,486,275,540 and 9,816,921,000

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Solution

The third proportional to 4,486,275,540 and 9,816,921,000 is: 21,481,502,208.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486,275,540 : 9,816,921,000 = 9,816,921,000 : x
  2. Step 2: Convert to fraction form
    4,486,275,540/9,816,921,000 = 9,816,921,000/x
  3. Step 3: Cross multiply
    4,486,275,540x = 9,816,921,000 × 9,816,921,000
  4. Step 4: Simplify right side
    4,486,275,540x = 96,371,937,920,240,992,256
  5. Step 5: Solve for x
    x = 96,371,937,920,240,992,256/4,486,275,540
  6. Step 6: Final answer
    x = 21,481,502,208.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.