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Finding the Third Proportional to 4,645,924 and 10,189,247

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Solution

The third proportional to 4,645,924 and 10,189,247 is: 22,346,632.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645,924 : 10,189,247 = 10,189,247 : x
  2. Step 2: Convert to fraction form
    4,645,924/10,189,247 = 10,189,247/x
  3. Step 3: Cross multiply
    4,645,924x = 10,189,247 × 10,189,247
  4. Step 4: Simplify right side
    4,645,924x = 103,820,754,427,009
  5. Step 5: Solve for x
    x = 103,820,754,427,009/4,645,924
  6. Step 6: Final answer
    x = 22,346,632.11

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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.