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Finding the Third Proportional to 5,839,850 and 7,811,643

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Solution

The third proportional to 5,839,850 and 7,811,643 is: 10,449,200.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,839,850 : 7,811,643 = 7,811,643 : x
  2. Step 2: Convert to fraction form
    5,839,850/7,811,643 = 7,811,643/x
  3. Step 3: Cross multiply
    5,839,850x = 7,811,643 × 7,811,643
  4. Step 4: Simplify right side
    5,839,850x = 61,021,766,359,449
  5. Step 5: Solve for x
    x = 61,021,766,359,449/5,839,850
  6. Step 6: Final answer
    x = 10,449,200.98

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.