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Finding the Third Proportional to 1,535,228,536 and 2,245,264,832

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Solution

The third proportional to 1,535,228,536 and 2,245,264,832 is: 3,283,689,722.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535,228,536 : 2,245,264,832 = 2,245,264,832 : x
  2. Step 2: Convert to fraction form
    1,535,228,536/2,245,264,832 = 2,245,264,832/x
  3. Step 3: Cross multiply
    1,535,228,536x = 2,245,264,832 × 2,245,264,832
  4. Step 4: Simplify right side
    1,535,228,536x = 5,041,214,165,815,988,224
  5. Step 5: Solve for x
    x = 5,041,214,165,815,988,224/1,535,228,536
  6. Step 6: Final answer
    x = 3,283,689,722.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.