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Finding the Third Proportional to 4,190,822 and 9,149,284

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Solution

The third proportional to 4,190,822 and 9,149,284 is: 19,974,457.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190,822 : 9,149,284 = 9,149,284 : x
  2. Step 2: Convert to fraction form
    4,190,822/9,149,284 = 9,149,284/x
  3. Step 3: Cross multiply
    4,190,822x = 9,149,284 × 9,149,284
  4. Step 4: Simplify right side
    4,190,822x = 83,709,397,712,656
  5. Step 5: Solve for x
    x = 83,709,397,712,656/4,190,822
  6. Step 6: Final answer
    x = 19,974,457.93

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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.