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Finding the Third Proportional to 137,027,795 and 323,371,671

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Solution

The third proportional to 137,027,795 and 323,371,671 is: 763,124,281.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,027,795 : 323,371,671 = 323,371,671 : x
  2. Step 2: Convert to fraction form
    137,027,795/323,371,671 = 323,371,671/x
  3. Step 3: Cross multiply
    137,027,795x = 323,371,671 × 323,371,671
  4. Step 4: Simplify right side
    137,027,795x = 104,569,237,605,332,240
  5. Step 5: Solve for x
    x = 104,569,237,605,332,240/137,027,795
  6. Step 6: Final answer
    x = 763,124,281.50

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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.