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Finding the Third Proportional to 3,096,665.44 and 6,411,074.06

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Solution

The third proportional to 3,096,665.44 and 6,411,074.06 is: 13,272,945.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096,665.44 : 6,411,074.06 = 6,411,074.06 : x
  2. Step 2: Convert to fraction form
    3,096,665.44/6,411,074.06 = 6,411,074.06/x
  3. Step 3: Cross multiply
    3,096,665.44x = 6,411,074.06 × 6,411,074.06
  4. Step 4: Simplify right side
    3,096,665.44x = 41,101,870,634,860.25
  5. Step 5: Solve for x
    x = 41,101,870,634,860.25/3,096,665.44
  6. Step 6: Final answer
    x = 13,272,945.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.