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Finding the Third Proportional to 1,732,661,865 and 3,782,830,113

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Solution

The third proportional to 1,732,661,865 and 3,782,830,113 is: 8,258,855,321.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732,661,865 : 3,782,830,113 = 3,782,830,113 : x
  2. Step 2: Convert to fraction form
    1,732,661,865/3,782,830,113 = 3,782,830,113/x
  3. Step 3: Cross multiply
    1,732,661,865x = 3,782,830,113 × 3,782,830,113
  4. Step 4: Simplify right side
    1,732,661,865x = 14,309,803,663,819,593,728
  5. Step 5: Solve for x
    x = 14,309,803,663,819,593,728/1,732,661,865
  6. Step 6: Final answer
    x = 8,258,855,321.33

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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.