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Finding the Third Proportional to 362,231,910 and 564,871,207.50

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Solution

The third proportional to 362,231,910 and 564,871,207.50 is: 880,870,713.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,231,910 : 564,871,207.50 = 564,871,207.50 : x
  2. Step 2: Convert to fraction form
    362,231,910/564,871,207.50 = 564,871,207.50/x
  3. Step 3: Cross multiply
    362,231,910x = 564,871,207.50 × 564,871,207.50
  4. Step 4: Simplify right side
    362,231,910x = 319,079,481,062,508,032
  5. Step 5: Solve for x
    x = 319,079,481,062,508,032/362,231,910
  6. Step 6: Final answer
    x = 880,870,713.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.