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Finding the Third Proportional to 113,676,324,593.49 and 244,593,762,912.84

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Solution

The third proportional to 113,676,324,593.49 and 244,593,762,912.84 is: 526,284,686,541.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,676,324,593.49 : 244,593,762,912.84 = 244,593,762,912.84 : x
  2. Step 2: Convert to fraction form
    113,676,324,593.49/244,593,762,912.84 = 244,593,762,912.84/x
  3. Step 3: Cross multiply
    113,676,324,593.49x = 244,593,762,912.84 × 244,593,762,912.84
  4. Step 4: Simplify right side
    113,676,324,593.49x = 59,826,108,855,862,582,837,248
  5. Step 5: Solve for x
    x = 59,826,108,855,862,582,837,248/113,676,324,593.49
  6. Step 6: Final answer
    x = 526,284,686,541.39

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1.5x scale

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.