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Finding the Third Proportional to 4,339,448,289 and 9,418,662,450

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Solution

The third proportional to 4,339,448,289 and 9,418,662,450 is: 20,442,967,962.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,339,448,289 : 9,418,662,450 = 9,418,662,450 : x
  2. Step 2: Convert to fraction form
    4,339,448,289/9,418,662,450 = 9,418,662,450/x
  3. Step 3: Cross multiply
    4,339,448,289x = 9,418,662,450 × 9,418,662,450
  4. Step 4: Simplify right side
    4,339,448,289x = 88,711,202,347,039,997,952
  5. Step 5: Solve for x
    x = 88,711,202,347,039,997,952/4,339,448,289
  6. Step 6: Final answer
    x = 20,442,967,962.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.