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Finding the Third Proportional to 4,658,352 and 9,876,568

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Solution

The third proportional to 4,658,352 and 9,876,568 is: 20,940,151.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658,352 : 9,876,568 = 9,876,568 : x
  2. Step 2: Convert to fraction form
    4,658,352/9,876,568 = 9,876,568/x
  3. Step 3: Cross multiply
    4,658,352x = 9,876,568 × 9,876,568
  4. Step 4: Simplify right side
    4,658,352x = 97,546,595,458,624
  5. Step 5: Solve for x
    x = 97,546,595,458,624/4,658,352
  6. Step 6: Final answer
    x = 20,940,151.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.