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Finding the Third Proportional to 4,190,784 and 9,049,344

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Solution

The third proportional to 4,190,784 and 9,049,344 is: 19,540,646.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190,784 : 9,049,344 = 9,049,344 : x
  2. Step 2: Convert to fraction form
    4,190,784/9,049,344 = 9,049,344/x
  3. Step 3: Cross multiply
    4,190,784x = 9,049,344 × 9,049,344
  4. Step 4: Simplify right side
    4,190,784x = 81,890,626,830,336
  5. Step 5: Solve for x
    x = 81,890,626,830,336/4,190,784
  6. Step 6: Final answer
    x = 19,540,646.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.