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Finding the Third Proportional to 658,230,046.88 and 1,370,941,407.56

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Solution

The third proportional to 658,230,046.88 and 1,370,941,407.56 is: 2,855,354,829.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,230,046.88 : 1,370,941,407.56 = 1,370,941,407.56 : x
  2. Step 2: Convert to fraction form
    658,230,046.88/1,370,941,407.56 = 1,370,941,407.56/x
  3. Step 3: Cross multiply
    658,230,046.88x = 1,370,941,407.56 × 1,370,941,407.56
  4. Step 4: Simplify right side
    658,230,046.88x = 1,879,480,342,969,448,704
  5. Step 5: Solve for x
    x = 1,879,480,342,969,448,704/658,230,046.88
  6. Step 6: Final answer
    x = 2,855,354,829.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.