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Finding the Third Proportional to 6,871,235,780,796 and 14,948,855,471,460

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Solution

The third proportional to 6,871,235,780,796 and 14,948,855,471,460 is: 32,522,283,768,977.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871,235,780,796 : 14,948,855,471,460 = 14,948,855,471,460 : x
  2. Step 2: Convert to fraction form
    6,871,235,780,796/14,948,855,471,460 = 14,948,855,471,460/x
  3. Step 3: Cross multiply
    6,871,235,780,796x = 14,948,855,471,460 × 14,948,855,471,460
  4. Step 4: Simplify right side
    6,871,235,780,796x = 223,468,279,906,599,573,945,057,280
  5. Step 5: Solve for x
    x = 223,468,279,906,599,573,945,057,280/6,871,235,780,796
  6. Step 6: Final answer
    x = 32,522,283,768,977.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.