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Finding the Third Proportional to 656,777,960 and 1,427,871,760

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Solution

The third proportional to 656,777,960 and 1,427,871,760 is: 3,104,272,504.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,777,960 : 1,427,871,760 = 1,427,871,760 : x
  2. Step 2: Convert to fraction form
    656,777,960/1,427,871,760 = 1,427,871,760/x
  3. Step 3: Cross multiply
    656,777,960x = 1,427,871,760 × 1,427,871,760
  4. Step 4: Simplify right side
    656,777,960x = 2,038,817,763,005,497,600
  5. Step 5: Solve for x
    x = 2,038,817,763,005,497,600/656,777,960
  6. Step 6: Final answer
    x = 3,104,272,504.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.