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Finding the Third Proportional to 2,004,855,329 and 4,174,701,772

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Solution

The third proportional to 2,004,855,329 and 4,174,701,772 is: 8,692,963,842.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004,855,329 : 4,174,701,772 = 4,174,701,772 : x
  2. Step 2: Convert to fraction form
    2,004,855,329/4,174,701,772 = 4,174,701,772/x
  3. Step 3: Cross multiply
    2,004,855,329x = 4,174,701,772 × 4,174,701,772
  4. Step 4: Simplify right side
    2,004,855,329x = 17,428,134,885,139,939,328
  5. Step 5: Solve for x
    x = 17,428,134,885,139,939,328/2,004,855,329
  6. Step 6: Final answer
    x = 8,692,963,842.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.