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Finding the Third Proportional to 6,229,614 and 9,430,491

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Solution

The third proportional to 6,229,614 and 9,430,491 is: 14,276,030.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,229,614 : 9,430,491 = 9,430,491 : x
  2. Step 2: Convert to fraction form
    6,229,614/9,430,491 = 9,430,491/x
  3. Step 3: Cross multiply
    6,229,614x = 9,430,491 × 9,430,491
  4. Step 4: Simplify right side
    6,229,614x = 88,934,160,501,081
  5. Step 5: Solve for x
    x = 88,934,160,501,081/6,229,614
  6. Step 6: Final answer
    x = 14,276,030.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.