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Finding the Third Proportional to 5,989,933,899 and 12,810,758,527

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Solution

The third proportional to 5,989,933,899 and 12,810,758,527 is: 27,398,555,110.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,989,933,899 : 12,810,758,527 = 12,810,758,527 : x
  2. Step 2: Convert to fraction form
    5,989,933,899/12,810,758,527 = 12,810,758,527/x
  3. Step 3: Cross multiply
    5,989,933,899x = 12,810,758,527 × 12,810,758,527
  4. Step 4: Simplify right side
    5,989,933,899x = 164,115,534,037,103,214,592
  5. Step 5: Solve for x
    x = 164,115,534,037,103,214,592/5,989,933,899
  6. Step 6: Final answer
    x = 27,398,555,110.02

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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.