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Finding the Third Proportional to 1,732,661,861 and 3,782,830,104

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Solution

The third proportional to 1,732,661,861 and 3,782,830,104 is: 8,258,855,301.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732,661,861 : 3,782,830,104 = 3,782,830,104 : x
  2. Step 2: Convert to fraction form
    1,732,661,861/3,782,830,104 = 3,782,830,104/x
  3. Step 3: Cross multiply
    1,732,661,861x = 3,782,830,104 × 3,782,830,104
  4. Step 4: Simplify right side
    1,732,661,861x = 14,309,803,595,728,650,240
  5. Step 5: Solve for x
    x = 14,309,803,595,728,650,240/1,732,661,861
  6. Step 6: Final answer
    x = 8,258,855,301.10

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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.