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Finding the Third Proportional to 5,709,623 and 8,406,727

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Solution

The third proportional to 5,709,623 and 8,406,727 is: 12,377,885.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709,623 : 8,406,727 = 8,406,727 : x
  2. Step 2: Convert to fraction form
    5,709,623/8,406,727 = 8,406,727/x
  3. Step 3: Cross multiply
    5,709,623x = 8,406,727 × 8,406,727
  4. Step 4: Simplify right side
    5,709,623x = 70,673,058,852,529
  5. Step 5: Solve for x
    x = 70,673,058,852,529/5,709,623
  6. Step 6: Final answer
    x = 12,377,885.34

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.