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Finding the Third Proportional to 30,876,517.50 and 65,746,443

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Solution

The third proportional to 30,876,517.50 and 65,746,443 is: 139,996,188.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,876,517.50 : 65,746,443 = 65,746,443 : x
  2. Step 2: Convert to fraction form
    30,876,517.50/65,746,443 = 65,746,443/x
  3. Step 3: Cross multiply
    30,876,517.50x = 65,746,443 × 65,746,443
  4. Step 4: Simplify right side
    30,876,517.50x = 4,322,594,767,152,249
  5. Step 5: Solve for x
    x = 4,322,594,767,152,249/30,876,517.50
  6. Step 6: Final answer
    x = 139,996,188.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.