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Finding the Third Proportional to 34,550,432 and 75,609,408

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Solution

The third proportional to 34,550,432 and 75,609,408 is: 165,461,971.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,550,432 : 75,609,408 = 75,609,408 : x
  2. Step 2: Convert to fraction form
    34,550,432/75,609,408 = 75,609,408/x
  3. Step 3: Cross multiply
    34,550,432x = 75,609,408 × 75,609,408
  4. Step 4: Simplify right side
    34,550,432x = 5,716,782,578,110,464
  5. Step 5: Solve for x
    x = 5,716,782,578,110,464/34,550,432
  6. Step 6: Final answer
    x = 165,461,971.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.