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Finding the Third Proportional to 307,006,713 and 667,804,056

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Solution

The third proportional to 307,006,713 and 667,804,056 is: 1,452,614,025.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,006,713 : 667,804,056 = 667,804,056 : x
  2. Step 2: Convert to fraction form
    307,006,713/667,804,056 = 667,804,056/x
  3. Step 3: Cross multiply
    307,006,713x = 667,804,056 × 667,804,056
  4. Step 4: Simplify right side
    307,006,713x = 445,962,257,210,051,136
  5. Step 5: Solve for x
    x = 445,962,257,210,051,136/307,006,713
  6. Step 6: Final answer
    x = 1,452,614,025.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.