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Finding the Third Proportional to 1,837,467,814 and 4,032,062,972

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Solution

The third proportional to 1,837,467,814 and 4,032,062,972 is: 8,847,791,338.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837,467,814 : 4,032,062,972 = 4,032,062,972 : x
  2. Step 2: Convert to fraction form
    1,837,467,814/4,032,062,972 = 4,032,062,972/x
  3. Step 3: Cross multiply
    1,837,467,814x = 4,032,062,972 × 4,032,062,972
  4. Step 4: Simplify right side
    1,837,467,814x = 16,257,531,810,173,472,768
  5. Step 5: Solve for x
    x = 16,257,531,810,173,472,768/1,837,467,814
  6. Step 6: Final answer
    x = 8,847,791,338.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.