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Finding the Third Proportional to 50,209,240,066 and 109,244,019,730

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Solution

The third proportional to 50,209,240,066 and 109,244,019,730 is: 237,690,429,711.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,209,240,066 : 109,244,019,730 = 109,244,019,730 : x
  2. Step 2: Convert to fraction form
    50,209,240,066/109,244,019,730 = 109,244,019,730/x
  3. Step 3: Cross multiply
    50,209,240,066x = 109,244,019,730 × 109,244,019,730
  4. Step 4: Simplify right side
    50,209,240,066x = 11,934,255,846,768,628,465,664
  5. Step 5: Solve for x
    x = 11,934,255,846,768,628,465,664/50,209,240,066
  6. Step 6: Final answer
    x = 237,690,429,711.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.