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Finding the Third Proportional to 37,472,610 and 83,561,370

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Solution

The third proportional to 37,472,610 and 83,561,370 is: 186,336,168.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,472,610 : 83,561,370 = 83,561,370 : x
  2. Step 2: Convert to fraction form
    37,472,610/83,561,370 = 83,561,370/x
  3. Step 3: Cross multiply
    37,472,610x = 83,561,370 × 83,561,370
  4. Step 4: Simplify right side
    37,472,610x = 6,982,502,556,276,900
  5. Step 5: Solve for x
    x = 6,982,502,556,276,900/37,472,610
  6. Step 6: Final answer
    x = 186,336,168.10

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.