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Finding the Third Proportional to 137,027,784 and 323,371,641

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Solution

The third proportional to 137,027,784 and 323,371,641 is: 763,124,201.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,027,784 : 323,371,641 = 323,371,641 : x
  2. Step 2: Convert to fraction form
    137,027,784/323,371,641 = 323,371,641/x
  3. Step 3: Cross multiply
    137,027,784x = 323,371,641 × 323,371,641
  4. Step 4: Simplify right side
    137,027,784x = 104,569,218,203,032,880
  5. Step 5: Solve for x
    x = 104,569,218,203,032,880/137,027,784
  6. Step 6: Final answer
    x = 763,124,201.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.