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Finding the Third Proportional to 34,717,266 and 75,606,408

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Solution

The third proportional to 34,717,266 and 75,606,408 is: 164,653,775.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,717,266 : 75,606,408 = 75,606,408 : x
  2. Step 2: Convert to fraction form
    34,717,266/75,606,408 = 75,606,408/x
  3. Step 3: Cross multiply
    34,717,266x = 75,606,408 × 75,606,408
  4. Step 4: Simplify right side
    34,717,266x = 5,716,328,930,662,464
  5. Step 5: Solve for x
    x = 5,716,328,930,662,464/34,717,266
  6. Step 6: Final answer
    x = 164,653,775.75

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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.