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Finding the Third Proportional to 8,849,120 and 18,911,296

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Solution

The third proportional to 8,849,120 and 18,911,296 is: 40,414,992.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,849,120 : 18,911,296 = 18,911,296 : x
  2. Step 2: Convert to fraction form
    8,849,120/18,911,296 = 18,911,296/x
  3. Step 3: Cross multiply
    8,849,120x = 18,911,296 × 18,911,296
  4. Step 4: Simplify right side
    8,849,120x = 357,637,116,399,616
  5. Step 5: Solve for x
    x = 357,637,116,399,616/8,849,120
  6. Step 6: Final answer
    x = 40,414,992.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.