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Finding the Third Proportional to 269,454,991,626.75 and 579,777,808,381.50

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Solution

The third proportional to 269,454,991,626.75 and 579,777,808,381.50 is: 1,247,489,627,348.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,454,991,626.75 : 579,777,808,381.50 = 579,777,808,381.50 : x
  2. Step 2: Convert to fraction form
    269,454,991,626.75/579,777,808,381.50 = 579,777,808,381.50/x
  3. Step 3: Cross multiply
    269,454,991,626.75x = 579,777,808,381.50 × 579,777,808,381.50
  4. Step 4: Simplify right side
    269,454,991,626.75x = 336,142,307,091,655,314,898,944
  5. Step 5: Solve for x
    x = 336,142,307,091,655,314,898,944/269,454,991,626.75
  6. Step 6: Final answer
    x = 1,247,489,627,348.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.