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Finding the Third Proportional to 233,231,410 and 539,945,023.50

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Solution

The third proportional to 233,231,410 and 539,945,023.50 is: 1,250,005,856.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,231,410 : 539,945,023.50 = 539,945,023.50 : x
  2. Step 2: Convert to fraction form
    233,231,410/539,945,023.50 = 539,945,023.50/x
  3. Step 3: Cross multiply
    233,231,410x = 539,945,023.50 × 539,945,023.50
  4. Step 4: Simplify right side
    233,231,410x = 291,540,628,402,415,552
  5. Step 5: Solve for x
    x = 291,540,628,402,415,552/233,231,410
  6. Step 6: Final answer
    x = 1,250,005,856.43

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.