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Finding the Third Proportional to 34,679,698 and 75,464,441

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Solution

The third proportional to 34,679,698 and 75,464,441 is: 164,213,709.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,679,698 : 75,464,441 = 75,464,441 : x
  2. Step 2: Convert to fraction form
    34,679,698/75,464,441 = 75,464,441/x
  3. Step 3: Cross multiply
    34,679,698x = 75,464,441 × 75,464,441
  4. Step 4: Simplify right side
    34,679,698x = 5,694,881,855,442,481
  5. Step 5: Solve for x
    x = 5,694,881,855,442,481/34,679,698
  6. Step 6: Final answer
    x = 164,213,709.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.