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Finding the Third Proportional to 32,713,767 and 51,322,532

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Solution

The third proportional to 32,713,767 and 51,322,532 is: 80,516,630.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,713,767 : 51,322,532 = 51,322,532 : x
  2. Step 2: Convert to fraction form
    32,713,767/51,322,532 = 51,322,532/x
  3. Step 3: Cross multiply
    32,713,767x = 51,322,532 × 51,322,532
  4. Step 4: Simplify right side
    32,713,767x = 2,634,002,290,891,024
  5. Step 5: Solve for x
    x = 2,634,002,290,891,024/32,713,767
  6. Step 6: Final answer
    x = 80,516,630.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.