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Finding the Third Proportional to 1,768,718,307 and 3,785,899,497

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Solution

The third proportional to 1,768,718,307 and 3,785,899,497 is: 8,103,627,889.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768,718,307 : 3,785,899,497 = 3,785,899,497 : x
  2. Step 2: Convert to fraction form
    1,768,718,307/3,785,899,497 = 3,785,899,497/x
  3. Step 3: Cross multiply
    1,768,718,307x = 3,785,899,497 × 3,785,899,497
  4. Step 4: Simplify right side
    1,768,718,307x = 14,333,035,001,384,853,504
  5. Step 5: Solve for x
    x = 14,333,035,001,384,853,504/1,768,718,307
  6. Step 6: Final answer
    x = 8,103,627,889.56

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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.