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Finding the Third Proportional to 61,293,264 and 91,408,368

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Solution

The third proportional to 61,293,264 and 91,408,368 is: 136,319,869.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,293,264 : 91,408,368 = 91,408,368 : x
  2. Step 2: Convert to fraction form
    61,293,264/91,408,368 = 91,408,368/x
  3. Step 3: Cross multiply
    61,293,264x = 91,408,368 × 91,408,368
  4. Step 4: Simplify right side
    61,293,264x = 8,355,489,740,423,424
  5. Step 5: Solve for x
    x = 8,355,489,740,423,424/61,293,264
  6. Step 6: Final answer
    x = 136,319,869.35

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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.