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Finding the Third Proportional to 769,877,148 and 1,580,567,822

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Solution

The third proportional to 769,877,148 and 1,580,567,822 is: 3,244,926,344.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,877,148 : 1,580,567,822 = 1,580,567,822 : x
  2. Step 2: Convert to fraction form
    769,877,148/1,580,567,822 = 1,580,567,822/x
  3. Step 3: Cross multiply
    769,877,148x = 1,580,567,822 × 1,580,567,822
  4. Step 4: Simplify right side
    769,877,148x = 2,498,194,639,941,823,488
  5. Step 5: Solve for x
    x = 2,498,194,639,941,823,488/769,877,148
  6. Step 6: Final answer
    x = 3,244,926,344.98

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.