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Finding the Third Proportional to 37,891,746 and 82,155,807

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Solution

The third proportional to 37,891,746 and 82,155,807 is: 178,127,886.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,891,746 : 82,155,807 = 82,155,807 : x
  2. Step 2: Convert to fraction form
    37,891,746/82,155,807 = 82,155,807/x
  3. Step 3: Cross multiply
    37,891,746x = 82,155,807 × 82,155,807
  4. Step 4: Simplify right side
    37,891,746x = 6,749,576,623,821,249
  5. Step 5: Solve for x
    x = 6,749,576,623,821,249/37,891,746
  6. Step 6: Final answer
    x = 178,127,886.32

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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.