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Finding the Third Proportional to 1,732,661,867 and 3,782,830,117

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Solution

The third proportional to 1,732,661,867 and 3,782,830,117 is: 8,258,855,329.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732,661,867 : 3,782,830,117 = 3,782,830,117 : x
  2. Step 2: Convert to fraction form
    1,732,661,867/3,782,830,117 = 3,782,830,117/x
  3. Step 3: Cross multiply
    1,732,661,867x = 3,782,830,117 × 3,782,830,117
  4. Step 4: Simplify right side
    1,732,661,867x = 14,309,803,694,082,234,368
  5. Step 5: Solve for x
    x = 14,309,803,694,082,234,368/1,732,661,867
  6. Step 6: Final answer
    x = 8,258,855,329.26

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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.