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Finding the Third Proportional to 5,173,305 and 7,831,527.75

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Solution

The third proportional to 5,173,305 and 7,831,527.75 is: 11,855,637.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173,305 : 7,831,527.75 = 7,831,527.75 : x
  2. Step 2: Convert to fraction form
    5,173,305/7,831,527.75 = 7,831,527.75/x
  3. Step 3: Cross multiply
    5,173,305x = 7,831,527.75 × 7,831,527.75
  4. Step 4: Simplify right side
    5,173,305x = 61,332,826,899,020.06
  5. Step 5: Solve for x
    x = 61,332,826,899,020.06/5,173,305
  6. Step 6: Final answer
    x = 11,855,637.14

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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.