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Finding the Third Proportional to 37,720,710 and 82,502,514

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Solution

The third proportional to 37,720,710 and 82,502,514 is: 180,449,011.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,720,710 : 82,502,514 = 82,502,514 : x
  2. Step 2: Convert to fraction form
    37,720,710/82,502,514 = 82,502,514/x
  3. Step 3: Cross multiply
    37,720,710x = 82,502,514 × 82,502,514
  4. Step 4: Simplify right side
    37,720,710x = 6,806,664,816,320,196
  5. Step 5: Solve for x
    x = 6,806,664,816,320,196/37,720,710
  6. Step 6: Final answer
    x = 180,449,011.07

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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.