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Finding the Third Proportional to 1,819,543,439 and 2,600,174,989

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Solution

The third proportional to 1,819,543,439 and 2,600,174,989 is: 3,715,717,816.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819,543,439 : 2,600,174,989 = 2,600,174,989 : x
  2. Step 2: Convert to fraction form
    1,819,543,439/2,600,174,989 = 2,600,174,989/x
  3. Step 3: Cross multiply
    1,819,543,439x = 2,600,174,989 × 2,600,174,989
  4. Step 4: Simplify right side
    1,819,543,439x = 6,760,909,973,421,150,208
  5. Step 5: Solve for x
    x = 6,760,909,973,421,150,208/1,819,543,439
  6. Step 6: Final answer
    x = 3,715,717,816.08

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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.