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Finding the Third Proportional to 37,558,110 and 82,289,580

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Solution

The third proportional to 37,558,110 and 82,289,580 is: 180,295,946.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,558,110 : 82,289,580 = 82,289,580 : x
  2. Step 2: Convert to fraction form
    37,558,110/82,289,580 = 82,289,580/x
  3. Step 3: Cross multiply
    37,558,110x = 82,289,580 × 82,289,580
  4. Step 4: Simplify right side
    37,558,110x = 6,771,574,976,576,400
  5. Step 5: Solve for x
    x = 6,771,574,976,576,400/37,558,110
  6. Step 6: Final answer
    x = 180,295,946.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.