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Finding the Third Proportional to 4,645,920 and 10,189,239

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Solution

The third proportional to 4,645,920 and 10,189,239 is: 22,346,616.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645,920 : 10,189,239 = 10,189,239 : x
  2. Step 2: Convert to fraction form
    4,645,920/10,189,239 = 10,189,239/x
  3. Step 3: Cross multiply
    4,645,920x = 10,189,239 × 10,189,239
  4. Step 4: Simplify right side
    4,645,920x = 103,820,591,399,121
  5. Step 5: Solve for x
    x = 103,820,591,399,121/4,645,920
  6. Step 6: Final answer
    x = 22,346,616.26

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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.