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Finding the Third Proportional to 37,675,101 and 81,373,146

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Solution

The third proportional to 37,675,101 and 81,373,146 is: 175,755,040.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,675,101 : 81,373,146 = 81,373,146 : x
  2. Step 2: Convert to fraction form
    37,675,101/81,373,146 = 81,373,146/x
  3. Step 3: Cross multiply
    37,675,101x = 81,373,146 × 81,373,146
  4. Step 4: Simplify right side
    37,675,101x = 6,621,588,889,937,316
  5. Step 5: Solve for x
    x = 6,621,588,889,937,316/37,675,101
  6. Step 6: Final answer
    x = 175,755,040.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.