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Finding the Third Proportional to 9,106,770 and 19,393,332

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Solution

The third proportional to 9,106,770 and 19,393,332 is: 41,299,091.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106,770 : 19,393,332 = 19,393,332 : x
  2. Step 2: Convert to fraction form
    9,106,770/19,393,332 = 19,393,332/x
  3. Step 3: Cross multiply
    9,106,770x = 19,393,332 × 19,393,332
  4. Step 4: Simplify right side
    9,106,770x = 376,101,326,062,224
  5. Step 5: Solve for x
    x = 376,101,326,062,224/9,106,770
  6. Step 6: Final answer
    x = 41,299,091.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.