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Finding the Third Proportional to 61,307,636 and 102,175,278

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Solution

The third proportional to 61,307,636 and 102,175,278 is: 170,285,271.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,307,636 : 102,175,278 = 102,175,278 : x
  2. Step 2: Convert to fraction form
    61,307,636/102,175,278 = 102,175,278/x
  3. Step 3: Cross multiply
    61,307,636x = 102,175,278 × 102,175,278
  4. Step 4: Simplify right side
    61,307,636x = 10,439,787,434,377,284
  5. Step 5: Solve for x
    x = 10,439,787,434,377,284/61,307,636
  6. Step 6: Final answer
    x = 170,285,271.39

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.