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Finding the Third Proportional to 382,011,427 and 818,485,634

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Solution

The third proportional to 382,011,427 and 818,485,634 is: 1,753,661,502.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,011,427 : 818,485,634 = 818,485,634 : x
  2. Step 2: Convert to fraction form
    382,011,427/818,485,634 = 818,485,634/x
  3. Step 3: Cross multiply
    382,011,427x = 818,485,634 × 818,485,634
  4. Step 4: Simplify right side
    382,011,427x = 669,918,733,064,381,952
  5. Step 5: Solve for x
    x = 669,918,733,064,381,952/382,011,427
  6. Step 6: Final answer
    x = 1,753,661,502.55

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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.