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Finding the Third Proportional to 656,777,984 and 1,427,871,744

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Solution

The third proportional to 656,777,984 and 1,427,871,744 is: 3,104,272,321.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,777,984 : 1,427,871,744 = 1,427,871,744 : x
  2. Step 2: Convert to fraction form
    656,777,984/1,427,871,744 = 1,427,871,744/x
  3. Step 3: Cross multiply
    656,777,984x = 1,427,871,744 × 1,427,871,744
  4. Step 4: Simplify right side
    656,777,984x = 2,038,817,717,313,601,536
  5. Step 5: Solve for x
    x = 2,038,817,717,313,601,536/656,777,984
  6. Step 6: Final answer
    x = 3,104,272,321.82

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Why These Related Problems?

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