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Finding the Third Proportional to 38,580,543 and 83,218,509

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Solution

The third proportional to 38,580,543 and 83,218,509 is: 179,502,923.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,580,543 : 83,218,509 = 83,218,509 : x
  2. Step 2: Convert to fraction form
    38,580,543/83,218,509 = 83,218,509/x
  3. Step 3: Cross multiply
    38,580,543x = 83,218,509 × 83,218,509
  4. Step 4: Simplify right side
    38,580,543x = 6,925,320,240,183,081
  5. Step 5: Solve for x
    x = 6,925,320,240,183,081/38,580,543
  6. Step 6: Final answer
    x = 179,502,923.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.