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Finding the Third Proportional to 1,768,718,296 and 3,785,899,476

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Solution

The third proportional to 1,768,718,296 and 3,785,899,476 is: 8,103,627,850.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768,718,296 : 3,785,899,476 = 3,785,899,476 : x
  2. Step 2: Convert to fraction form
    1,768,718,296/3,785,899,476 = 3,785,899,476/x
  3. Step 3: Cross multiply
    1,768,718,296x = 3,785,899,476 × 3,785,899,476
  4. Step 4: Simplify right side
    1,768,718,296x = 14,333,034,842,377,074,688
  5. Step 5: Solve for x
    x = 14,333,034,842,377,074,688/1,768,718,296
  6. Step 6: Final answer
    x = 8,103,627,850.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.