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Finding the Third Proportional to 5,826,213 and 9,119,614

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Solution

The third proportional to 5,826,213 and 9,119,614 is: 14,274,685.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826,213 : 9,119,614 = 9,119,614 : x
  2. Step 2: Convert to fraction form
    5,826,213/9,119,614 = 9,119,614/x
  3. Step 3: Cross multiply
    5,826,213x = 9,119,614 × 9,119,614
  4. Step 4: Simplify right side
    5,826,213x = 83,167,359,508,996
  5. Step 5: Solve for x
    x = 83,167,359,508,996/5,826,213
  6. Step 6: Final answer
    x = 14,274,685.72

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.