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Finding the Third Proportional to 2,301,468,843 and 4,962,172,665

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Solution

The third proportional to 2,301,468,843 and 4,962,172,665 is: 10,698,888,074.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301,468,843 : 4,962,172,665 = 4,962,172,665 : x
  2. Step 2: Convert to fraction form
    2,301,468,843/4,962,172,665 = 4,962,172,665/x
  3. Step 3: Cross multiply
    2,301,468,843x = 4,962,172,665 × 4,962,172,665
  4. Step 4: Simplify right side
    2,301,468,843x = 24,623,157,557,273,202,688
  5. Step 5: Solve for x
    x = 24,623,157,557,273,202,688/2,301,468,843
  6. Step 6: Final answer
    x = 10,698,888,074.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.