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Finding the Third Proportional to 43,068,664 and 66,199,519

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Solution

The third proportional to 43,068,664 and 66,199,519 is: 101,753,244.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,068,664 : 66,199,519 = 66,199,519 : x
  2. Step 2: Convert to fraction form
    43,068,664/66,199,519 = 66,199,519/x
  3. Step 3: Cross multiply
    43,068,664x = 66,199,519 × 66,199,519
  4. Step 4: Simplify right side
    43,068,664x = 4,382,376,315,831,361
  5. Step 5: Solve for x
    x = 4,382,376,315,831,361/43,068,664
  6. Step 6: Final answer
    x = 101,753,244.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.