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Finding the Third Proportional to 27,151,755,219 and 58,453,143,840

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Solution

The third proportional to 27,151,755,219 and 58,453,143,840 is: 125,839,747,641.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,151,755,219 : 58,453,143,840 = 58,453,143,840 : x
  2. Step 2: Convert to fraction form
    27,151,755,219/58,453,143,840 = 58,453,143,840/x
  3. Step 3: Cross multiply
    27,151,755,219x = 58,453,143,840 × 58,453,143,840
  4. Step 4: Simplify right side
    27,151,755,219x = 3,416,770,024,779,730,124,800
  5. Step 5: Solve for x
    x = 3,416,770,024,779,730,124,800/27,151,755,219
  6. Step 6: Final answer
    x = 125,839,747,641.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.