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Finding the Third Proportional to 1,837,467,820 and 4,032,062,984

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Solution

The third proportional to 1,837,467,820 and 4,032,062,984 is: 8,847,791,362.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837,467,820 : 4,032,062,984 = 4,032,062,984 : x
  2. Step 2: Convert to fraction form
    1,837,467,820/4,032,062,984 = 4,032,062,984/x
  3. Step 3: Cross multiply
    1,837,467,820x = 4,032,062,984 × 4,032,062,984
  4. Step 4: Simplify right side
    1,837,467,820x = 16,257,531,906,942,984,192
  5. Step 5: Solve for x
    x = 16,257,531,906,942,984,192/1,837,467,820
  6. Step 6: Final answer
    x = 8,847,791,362.65

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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.