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Finding the Third Proportional to 32,049,824 and 65,232,306

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Solution

The third proportional to 32,049,824 and 65,232,306 is: 132,769,956.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,049,824 : 65,232,306 = 65,232,306 : x
  2. Step 2: Convert to fraction form
    32,049,824/65,232,306 = 65,232,306/x
  3. Step 3: Cross multiply
    32,049,824x = 65,232,306 × 65,232,306
  4. Step 4: Simplify right side
    32,049,824x = 4,255,253,746,077,636
  5. Step 5: Solve for x
    x = 4,255,253,746,077,636/32,049,824
  6. Step 6: Final answer
    x = 132,769,956.74

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.