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Finding the Third Proportional to 1,732,661,248.50 and 3,782,829,042

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Solution

The third proportional to 1,732,661,248.50 and 3,782,829,042 is: 8,258,853,583.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732,661,248.50 : 3,782,829,042 = 3,782,829,042 : x
  2. Step 2: Convert to fraction form
    1,732,661,248.50/3,782,829,042 = 3,782,829,042/x
  3. Step 3: Cross multiply
    1,732,661,248.50x = 3,782,829,042 × 3,782,829,042
  4. Step 4: Simplify right side
    1,732,661,248.50x = 14,309,795,560,998,637,568
  5. Step 5: Solve for x
    x = 14,309,795,560,998,637,568/1,732,661,248.50
  6. Step 6: Final answer
    x = 8,258,853,583.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.