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Finding the Third Proportional to 2,180,209,843.41 and 4,782,513,007.97

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Solution

The third proportional to 2,180,209,843.41 and 4,782,513,007.97 is: 10,490,930,834.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180,209,843.41 : 4,782,513,007.97 = 4,782,513,007.97 : x
  2. Step 2: Convert to fraction form
    2,180,209,843.41/4,782,513,007.97 = 4,782,513,007.97/x
  3. Step 3: Cross multiply
    2,180,209,843.41x = 4,782,513,007.97 × 4,782,513,007.97
  4. Step 4: Simplify right side
    2,180,209,843.41x = 22,872,430,671,390,777,344
  5. Step 5: Solve for x
    x = 22,872,430,671,390,777,344/2,180,209,843.41
  6. Step 6: Final answer
    x = 10,490,930,834.28

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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.