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Finding the Third Proportional to 30,541,275 and 65,454,444

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Solution

The third proportional to 30,541,275 and 65,454,444 is: 140,278,499.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,541,275 : 65,454,444 = 65,454,444 : x
  2. Step 2: Convert to fraction form
    30,541,275/65,454,444 = 65,454,444/x
  3. Step 3: Cross multiply
    30,541,275x = 65,454,444 × 65,454,444
  4. Step 4: Simplify right side
    30,541,275x = 4,284,284,239,349,136
  5. Step 5: Solve for x
    x = 4,284,284,239,349,136/30,541,275
  6. Step 6: Final answer
    x = 140,278,499.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.