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Finding the Third Proportional to 68,175,034 and 105,779,627

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Solution

The third proportional to 68,175,034 and 105,779,627 is: 164,126,496.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,175,034 : 105,779,627 = 105,779,627 : x
  2. Step 2: Convert to fraction form
    68,175,034/105,779,627 = 105,779,627/x
  3. Step 3: Cross multiply
    68,175,034x = 105,779,627 × 105,779,627
  4. Step 4: Simplify right side
    68,175,034x = 11,189,329,488,259,128
  5. Step 5: Solve for x
    x = 11,189,329,488,259,128/68,175,034
  6. Step 6: Final answer
    x = 164,126,496.63

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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.