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Finding the Third Proportional to 9,736,326 and 15,417,222.75

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Solution

The third proportional to 9,736,326 and 15,417,222.75 is: 24,412,777.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,736,326 : 15,417,222.75 = 15,417,222.75 : x
  2. Step 2: Convert to fraction form
    9,736,326/15,417,222.75 = 15,417,222.75/x
  3. Step 3: Cross multiply
    9,736,326x = 15,417,222.75 × 15,417,222.75
  4. Step 4: Simplify right side
    9,736,326x = 237,690,757,323,117.56
  5. Step 5: Solve for x
    x = 237,690,757,323,117.56/9,736,326
  6. Step 6: Final answer
    x = 24,412,777.19

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.