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Finding the Third Proportional to 454,618,749 and 664,922,012

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Solution

The third proportional to 454,618,749 and 664,922,012 is: 972,510,005.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,618,749 : 664,922,012 = 664,922,012 : x
  2. Step 2: Convert to fraction form
    454,618,749/664,922,012 = 664,922,012/x
  3. Step 3: Cross multiply
    454,618,749x = 664,922,012 × 664,922,012
  4. Step 4: Simplify right side
    454,618,749x = 442,121,282,042,128,128
  5. Step 5: Solve for x
    x = 442,121,282,042,128,128/454,618,749
  6. Step 6: Final answer
    x = 972,510,005.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.