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Finding the Third Proportional to 50,047,396 and 109,660,712

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Solution

The third proportional to 50,047,396 and 109,660,712 is: 240,281,667.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,047,396 : 109,660,712 = 109,660,712 : x
  2. Step 2: Convert to fraction form
    50,047,396/109,660,712 = 109,660,712/x
  3. Step 3: Cross multiply
    50,047,396x = 109,660,712 × 109,660,712
  4. Step 4: Simplify right side
    50,047,396x = 12,025,471,756,346,944
  5. Step 5: Solve for x
    x = 12,025,471,756,346,944/50,047,396
  6. Step 6: Final answer
    x = 240,281,667.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.