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Finding the Third Proportional to 9,309,880 and 14,530,712

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Solution

The third proportional to 9,309,880 and 14,530,712 is: 22,679,303.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309,880 : 14,530,712 = 14,530,712 : x
  2. Step 2: Convert to fraction form
    9,309,880/14,530,712 = 14,530,712/x
  3. Step 3: Cross multiply
    9,309,880x = 14,530,712 × 14,530,712
  4. Step 4: Simplify right side
    9,309,880x = 211,141,591,226,944
  5. Step 5: Solve for x
    x = 211,141,591,226,944/9,309,880
  6. Step 6: Final answer
    x = 22,679,303.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.