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Finding the Third Proportional to 43,068,672 and 66,199,536

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Solution

The third proportional to 43,068,672 and 66,199,536 is: 101,753,278.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,068,672 : 66,199,536 = 66,199,536 : x
  2. Step 2: Convert to fraction form
    43,068,672/66,199,536 = 66,199,536/x
  3. Step 3: Cross multiply
    43,068,672x = 66,199,536 × 66,199,536
  4. Step 4: Simplify right side
    43,068,672x = 4,382,378,566,615,296
  5. Step 5: Solve for x
    x = 4,382,378,566,615,296/43,068,672
  6. Step 6: Final answer
    x = 101,753,278.27

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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.