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Finding the Third Proportional to 1,819,543,437 and 2,600,174,986

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Solution

The third proportional to 1,819,543,437 and 2,600,174,986 is: 3,715,717,811.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819,543,437 : 2,600,174,986 = 2,600,174,986 : x
  2. Step 2: Convert to fraction form
    1,819,543,437/2,600,174,986 = 2,600,174,986/x
  3. Step 3: Cross multiply
    1,819,543,437x = 2,600,174,986 × 2,600,174,986
  4. Step 4: Simplify right side
    1,819,543,437x = 6,760,909,957,820,100,608
  5. Step 5: Solve for x
    x = 6,760,909,957,820,100,608/1,819,543,437
  6. Step 6: Final answer
    x = 3,715,717,811.59

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.