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Finding the Third Proportional to 2,549,728,672.20 and 5,486,877,833.41

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Solution

The third proportional to 2,549,728,672.20 and 5,486,877,833.41 is: 11,807,463,549.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549,728,672.20 : 5,486,877,833.41 = 5,486,877,833.41 : x
  2. Step 2: Convert to fraction form
    2,549,728,672.20/5,486,877,833.41 = 5,486,877,833.41/x
  3. Step 3: Cross multiply
    2,549,728,672.20x = 5,486,877,833.41 × 5,486,877,833.41
  4. Step 4: Simplify right side
    2,549,728,672.20x = 30,105,828,358,757,232,640
  5. Step 5: Solve for x
    x = 30,105,828,358,757,232,640/2,549,728,672.20
  6. Step 6: Final answer
    x = 11,807,463,549.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.