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Finding the Third Proportional to 50,100,641 and 77,575,251

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Solution

The third proportional to 50,100,641 and 77,575,251 is: 120,116,618.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,100,641 : 77,575,251 = 77,575,251 : x
  2. Step 2: Convert to fraction form
    50,100,641/77,575,251 = 77,575,251/x
  3. Step 3: Cross multiply
    50,100,641x = 77,575,251 × 77,575,251
  4. Step 4: Simplify right side
    50,100,641x = 6,017,919,567,713,001
  5. Step 5: Solve for x
    x = 6,017,919,567,713,001/50,100,641
  6. Step 6: Final answer
    x = 120,116,618.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.