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Finding the Third Proportional to 1,500,948,584 and 2,263,234,764

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Solution

The third proportional to 1,500,948,584 and 2,263,234,764 is: 3,412,662,933.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500,948,584 : 2,263,234,764 = 2,263,234,764 : x
  2. Step 2: Convert to fraction form
    1,500,948,584/2,263,234,764 = 2,263,234,764/x
  3. Step 3: Cross multiply
    1,500,948,584x = 2,263,234,764 × 2,263,234,764
  4. Step 4: Simplify right side
    1,500,948,584x = 5,122,231,596,978,136,064
  5. Step 5: Solve for x
    x = 5,122,231,596,978,136,064/1,500,948,584
  6. Step 6: Final answer
    x = 3,412,662,933.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.