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Finding the Third Proportional to 6,114,302 and 9,186,861

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Solution

The third proportional to 6,114,302 and 9,186,861 is: 13,803,442.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114,302 : 9,186,861 = 9,186,861 : x
  2. Step 2: Convert to fraction form
    6,114,302/9,186,861 = 9,186,861/x
  3. Step 3: Cross multiply
    6,114,302x = 9,186,861 × 9,186,861
  4. Step 4: Simplify right side
    6,114,302x = 84,398,415,033,321
  5. Step 5: Solve for x
    x = 84,398,415,033,321/6,114,302
  6. Step 6: Final answer
    x = 13,803,442.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.