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Finding the Third Proportional to 9,927,412 and 21,503,285

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Solution

The third proportional to 9,927,412 and 21,503,285 is: 46,577,221.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,927,412 : 21,503,285 = 21,503,285 : x
  2. Step 2: Convert to fraction form
    9,927,412/21,503,285 = 21,503,285/x
  3. Step 3: Cross multiply
    9,927,412x = 21,503,285 × 21,503,285
  4. Step 4: Simplify right side
    9,927,412x = 462,391,265,791,225
  5. Step 5: Solve for x
    x = 462,391,265,791,225/9,927,412
  6. Step 6: Final answer
    x = 46,577,221.31

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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.