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Finding the Third Proportional to 638,091,996 and 1,385,085,660

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Solution

The third proportional to 638,091,996 and 1,385,085,660 is: 3,006,560,648.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,091,996 : 1,385,085,660 = 1,385,085,660 : x
  2. Step 2: Convert to fraction form
    638,091,996/1,385,085,660 = 1,385,085,660/x
  3. Step 3: Cross multiply
    638,091,996x = 1,385,085,660 × 1,385,085,660
  4. Step 4: Simplify right side
    638,091,996x = 1,918,462,285,537,635,584
  5. Step 5: Solve for x
    x = 1,918,462,285,537,635,584/638,091,996
  6. Step 6: Final answer
    x = 3,006,560,648.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.