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Finding the Third Proportional to 5,849,206 and 12,623,232

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Solution

The third proportional to 5,849,206 and 12,623,232 is: 27,242,327.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849,206 : 12,623,232 = 12,623,232 : x
  2. Step 2: Convert to fraction form
    5,849,206/12,623,232 = 12,623,232/x
  3. Step 3: Cross multiply
    5,849,206x = 12,623,232 × 12,623,232
  4. Step 4: Simplify right side
    5,849,206x = 159,345,986,125,824
  5. Step 5: Solve for x
    x = 159,345,986,125,824/5,849,206
  6. Step 6: Final answer
    x = 27,242,327.61

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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.