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Finding the Third Proportional to 9,338,712 and 14,422,356

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Solution

The third proportional to 9,338,712 and 14,422,356 is: 22,273,344.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,338,712 : 14,422,356 = 14,422,356 : x
  2. Step 2: Convert to fraction form
    9,338,712/14,422,356 = 14,422,356/x
  3. Step 3: Cross multiply
    9,338,712x = 14,422,356 × 14,422,356
  4. Step 4: Simplify right side
    9,338,712x = 208,004,352,590,736
  5. Step 5: Solve for x
    x = 208,004,352,590,736/9,338,712
  6. Step 6: Final answer
    x = 22,273,344.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.