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Finding the Third Proportional to 21,882,577 and 50,654,205

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Solution

The third proportional to 21,882,577 and 50,654,205 is: 117,255,316.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,882,577 : 50,654,205 = 50,654,205 : x
  2. Step 2: Convert to fraction form
    21,882,577/50,654,205 = 50,654,205/x
  3. Step 3: Cross multiply
    21,882,577x = 50,654,205 × 50,654,205
  4. Step 4: Simplify right side
    21,882,577x = 2,565,848,484,182,025
  5. Step 5: Solve for x
    x = 2,565,848,484,182,025/21,882,577
  6. Step 6: Final answer
    x = 117,255,316.14

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.