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Finding the Third Proportional to 37,683,250.88 and 81,626,798.25

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Solution

The third proportional to 37,683,250.88 and 81,626,798.25 is: 176,814,208.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,683,250.88 : 81,626,798.25 = 81,626,798.25 : x
  2. Step 2: Convert to fraction form
    37,683,250.88/81,626,798.25 = 81,626,798.25/x
  3. Step 3: Cross multiply
    37,683,250.88x = 81,626,798.25 × 81,626,798.25
  4. Step 4: Simplify right side
    37,683,250.88x = 6,662,934,192,546,203
  5. Step 5: Solve for x
    x = 6,662,934,192,546,203/37,683,250.88
  6. Step 6: Final answer
    x = 176,814,208.91

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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.