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Finding the Third Proportional to 4,190,810 and 9,149,260

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Solution

The third proportional to 4,190,810 and 9,149,260 is: 19,974,410.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190,810 : 9,149,260 = 9,149,260 : x
  2. Step 2: Convert to fraction form
    4,190,810/9,149,260 = 9,149,260/x
  3. Step 3: Cross multiply
    4,190,810x = 9,149,260 × 9,149,260
  4. Step 4: Simplify right side
    4,190,810x = 83,708,958,547,600
  5. Step 5: Solve for x
    x = 83,708,958,547,600/4,190,810
  6. Step 6: Final answer
    x = 19,974,410.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.