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Finding the Third Proportional to 1,768,718,278.13 and 3,785,899,439.25

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Solution

The third proportional to 1,768,718,278.13 and 3,785,899,439.25 is: 8,103,627,774.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768,718,278.13 : 3,785,899,439.25 = 3,785,899,439.25 : x
  2. Step 2: Convert to fraction form
    1,768,718,278.13/3,785,899,439.25 = 3,785,899,439.25/x
  3. Step 3: Cross multiply
    1,768,718,278.13x = 3,785,899,439.25 × 3,785,899,439.25
  4. Step 4: Simplify right side
    1,768,718,278.13x = 14,333,034,564,113,465,344
  5. Step 5: Solve for x
    x = 14,333,034,564,113,465,344/1,768,718,278.13
  6. Step 6: Final answer
    x = 8,103,627,774.63

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