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Finding the Third Proportional to 664,633,416 and 1,454,358,672

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Solution

The third proportional to 664,633,416 and 1,454,358,672 is: 3,182,444,782.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,633,416 : 1,454,358,672 = 1,454,358,672 : x
  2. Step 2: Convert to fraction form
    664,633,416/1,454,358,672 = 1,454,358,672/x
  3. Step 3: Cross multiply
    664,633,416x = 1,454,358,672 × 1,454,358,672
  4. Step 4: Simplify right side
    664,633,416x = 2,115,159,146,821,603,584
  5. Step 5: Solve for x
    x = 2,115,159,146,821,603,584/664,633,416
  6. Step 6: Final answer
    x = 3,182,444,782.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.