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Finding the Third Proportional to 358,029,434 and 771,149,394

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Solution

The third proportional to 358,029,434 and 771,149,394 is: 1,660,956,701.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,029,434 : 771,149,394 = 771,149,394 : x
  2. Step 2: Convert to fraction form
    358,029,434/771,149,394 = 771,149,394/x
  3. Step 3: Cross multiply
    358,029,434x = 771,149,394 × 771,149,394
  4. Step 4: Simplify right side
    358,029,434x = 594,671,387,866,567,296
  5. Step 5: Solve for x
    x = 594,671,387,866,567,296/358,029,434
  6. Step 6: Final answer
    x = 1,660,956,701.86

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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.