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Finding the Third Proportional to 3,169,089 and 6,830,981

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Solution

The third proportional to 3,169,089 and 6,830,981 is: 14,724,200.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169,089 : 6,830,981 = 6,830,981 : x
  2. Step 2: Convert to fraction form
    3,169,089/6,830,981 = 6,830,981/x
  3. Step 3: Cross multiply
    3,169,089x = 6,830,981 × 6,830,981
  4. Step 4: Simplify right side
    3,169,089x = 46,662,301,422,361
  5. Step 5: Solve for x
    x = 46,662,301,422,361/3,169,089
  6. Step 6: Final answer
    x = 14,724,200.37

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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.