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Finding the Third Proportional to 358,029,418.50 and 771,149,367

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Solution

The third proportional to 358,029,418.50 and 771,149,367 is: 1,660,956,657.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,029,418.50 : 771,149,367 = 771,149,367 : x
  2. Step 2: Convert to fraction form
    358,029,418.50/771,149,367 = 771,149,367/x
  3. Step 3: Cross multiply
    358,029,418.50x = 771,149,367 × 771,149,367
  4. Step 4: Simplify right side
    358,029,418.50x = 594,671,346,224,500,736
  5. Step 5: Solve for x
    x = 594,671,346,224,500,736/358,029,418.50
  6. Step 6: Final answer
    x = 1,660,956,657.46

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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.