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Finding the Third Proportional to 1,768,718,286 and 3,785,899,456

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Solution

The third proportional to 1,768,718,286 and 3,785,899,456 is: 8,103,627,810.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768,718,286 : 3,785,899,456 = 3,785,899,456 : x
  2. Step 2: Convert to fraction form
    1,768,718,286/3,785,899,456 = 3,785,899,456/x
  3. Step 3: Cross multiply
    1,768,718,286x = 3,785,899,456 × 3,785,899,456
  4. Step 4: Simplify right side
    1,768,718,286x = 14,333,034,690,941,095,936
  5. Step 5: Solve for x
    x = 14,333,034,690,941,095,936/1,768,718,286
  6. Step 6: Final answer
    x = 8,103,627,810.26

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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.