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Finding the Third Proportional to 61,293,211 and 91,408,294

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Solution

The third proportional to 61,293,211 and 91,408,294 is: 136,319,766.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,293,211 : 91,408,294 = 91,408,294 : x
  2. Step 2: Convert to fraction form
    61,293,211/91,408,294 = 91,408,294/x
  3. Step 3: Cross multiply
    61,293,211x = 91,408,294 × 91,408,294
  4. Step 4: Simplify right side
    61,293,211x = 8,355,476,211,990,436
  5. Step 5: Solve for x
    x = 8,355,476,211,990,436/61,293,211
  6. Step 6: Final answer
    x = 136,319,766.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.