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Finding the Third Proportional to 388,418,981 and 832,240,626

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Solution

The third proportional to 388,418,981 and 832,240,626 is: 1,783,189,013.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,418,981 : 832,240,626 = 832,240,626 : x
  2. Step 2: Convert to fraction form
    388,418,981/832,240,626 = 832,240,626/x
  3. Step 3: Cross multiply
    388,418,981x = 832,240,626 × 832,240,626
  4. Step 4: Simplify right side
    388,418,981x = 692,624,459,564,871,936
  5. Step 5: Solve for x
    x = 692,624,459,564,871,936/388,418,981
  6. Step 6: Final answer
    x = 1,783,189,013.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.