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Finding the Third Proportional to 9,023,046.75 and 14,812,326

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Solution

The third proportional to 9,023,046.75 and 14,812,326 is: 24,316,066.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,023,046.75 : 14,812,326 = 14,812,326 : x
  2. Step 2: Convert to fraction form
    9,023,046.75/14,812,326 = 14,812,326/x
  3. Step 3: Cross multiply
    9,023,046.75x = 14,812,326 × 14,812,326
  4. Step 4: Simplify right side
    9,023,046.75x = 219,405,001,530,276
  5. Step 5: Solve for x
    x = 219,405,001,530,276/9,023,046.75
  6. Step 6: Final answer
    x = 24,316,066.14

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.