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Finding the Third Proportional to 54,244,381.50 and 81,871,014.38

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Solution

The third proportional to 54,244,381.50 and 81,871,014.38 is: 123,567,875.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,244,381.50 : 81,871,014.38 = 81,871,014.38 : x
  2. Step 2: Convert to fraction form
    54,244,381.50/81,871,014.38 = 81,871,014.38/x
  3. Step 3: Cross multiply
    54,244,381.50x = 81,871,014.38 × 81,871,014.38
  4. Step 4: Simplify right side
    54,244,381.50x = 6,702,862,994,791,457
  5. Step 5: Solve for x
    x = 6,702,862,994,791,457/54,244,381.50
  6. Step 6: Final answer
    x = 123,567,875.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.