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Finding the Third Proportional to 307,011,127 and 501,268,469

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Solution

The third proportional to 307,011,127 and 501,268,469 is: 818,439,645.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,011,127 : 501,268,469 = 501,268,469 : x
  2. Step 2: Convert to fraction form
    307,011,127/501,268,469 = 501,268,469/x
  3. Step 3: Cross multiply
    307,011,127x = 501,268,469 × 501,268,469
  4. Step 4: Simplify right side
    307,011,127x = 251,270,078,013,603,968
  5. Step 5: Solve for x
    x = 251,270,078,013,603,968/307,011,127
  6. Step 6: Final answer
    x = 818,439,645.72

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.