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Finding the Third Proportional to 267,776,746 and 413,782,968

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Solution

The third proportional to 267,776,746 and 413,782,968 is: 639,399,601.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,776,746 : 413,782,968 = 413,782,968 : x
  2. Step 2: Convert to fraction form
    267,776,746/413,782,968 = 413,782,968/x
  3. Step 3: Cross multiply
    267,776,746x = 413,782,968 × 413,782,968
  4. Step 4: Simplify right side
    267,776,746x = 171,216,344,606,889,024
  5. Step 5: Solve for x
    x = 171,216,344,606,889,024/267,776,746
  6. Step 6: Final answer
    x = 639,399,601.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.