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Finding the Third Proportional to 9,348,458 and 14,084,206

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Solution

The third proportional to 9,348,458 and 14,084,206 is: 21,218,992.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348,458 : 14,084,206 = 14,084,206 : x
  2. Step 2: Convert to fraction form
    9,348,458/14,084,206 = 14,084,206/x
  3. Step 3: Cross multiply
    9,348,458x = 14,084,206 × 14,084,206
  4. Step 4: Simplify right side
    9,348,458x = 198,364,858,650,436
  5. Step 5: Solve for x
    x = 198,364,858,650,436/9,348,458
  6. Step 6: Final answer
    x = 21,218,992.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.