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Finding the Third Proportional to 5,370,066 and 8,133,091

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Solution

The third proportional to 5,370,066 and 8,133,091 is: 12,317,757.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,370,066 : 8,133,091 = 8,133,091 : x
  2. Step 2: Convert to fraction form
    5,370,066/8,133,091 = 8,133,091/x
  3. Step 3: Cross multiply
    5,370,066x = 8,133,091 × 8,133,091
  4. Step 4: Simplify right side
    5,370,066x = 66,147,169,214,281
  5. Step 5: Solve for x
    x = 66,147,169,214,281/5,370,066
  6. Step 6: Final answer
    x = 12,317,757.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.