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Finding the Third Proportional to 34,375,677 and 49,713,228

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Solution

The third proportional to 34,375,677 and 49,713,228 is: 71,894,003.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,375,677 : 49,713,228 = 49,713,228 : x
  2. Step 2: Convert to fraction form
    34,375,677/49,713,228 = 49,713,228/x
  3. Step 3: Cross multiply
    34,375,677x = 49,713,228 × 49,713,228
  4. Step 4: Simplify right side
    34,375,677x = 2,471,405,038,179,984
  5. Step 5: Solve for x
    x = 2,471,405,038,179,984/34,375,677
  6. Step 6: Final answer
    x = 71,894,003.37

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.