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Finding the Third Proportional to 11,316,209 and 23,155,351

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Solution

The third proportional to 11,316,209 and 23,155,351 is: 47,380,733.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,316,209 : 23,155,351 = 23,155,351 : x
  2. Step 2: Convert to fraction form
    11,316,209/23,155,351 = 23,155,351/x
  3. Step 3: Cross multiply
    11,316,209x = 23,155,351 × 23,155,351
  4. Step 4: Simplify right side
    11,316,209x = 536,170,279,933,201
  5. Step 5: Solve for x
    x = 536,170,279,933,201/11,316,209
  6. Step 6: Final answer
    x = 47,380,733.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.