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Finding the Third Proportional to 37,009,520 and 80,197,072

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Solution

The third proportional to 37,009,520 and 80,197,072 is: 173,781,512.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,009,520 : 80,197,072 = 80,197,072 : x
  2. Step 2: Convert to fraction form
    37,009,520/80,197,072 = 80,197,072/x
  3. Step 3: Cross multiply
    37,009,520x = 80,197,072 × 80,197,072
  4. Step 4: Simplify right side
    37,009,520x = 6,431,570,357,373,184
  5. Step 5: Solve for x
    x = 6,431,570,357,373,184/37,009,520
  6. Step 6: Final answer
    x = 173,781,512.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.