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Finding the Third Proportional to 2,756,376,012 and 4,236,747,570

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Solution

The third proportional to 2,756,376,012 and 4,236,747,570 is: 6,512,184,801.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756,376,012 : 4,236,747,570 = 4,236,747,570 : x
  2. Step 2: Convert to fraction form
    2,756,376,012/4,236,747,570 = 4,236,747,570/x
  3. Step 3: Cross multiply
    2,756,376,012x = 4,236,747,570 × 4,236,747,570
  4. Step 4: Simplify right side
    2,756,376,012x = 17,950,029,971,900,905,472
  5. Step 5: Solve for x
    x = 17,950,029,971,900,905,472/2,756,376,012
  6. Step 6: Final answer
    x = 6,512,184,801.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.