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Finding the Third Proportional to 137,027,731 and 323,371,537

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Solution

The third proportional to 137,027,731 and 323,371,537 is: 763,124,005.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,027,731 : 323,371,537 = 323,371,537 : x
  2. Step 2: Convert to fraction form
    137,027,731/323,371,537 = 323,371,537/x
  3. Step 3: Cross multiply
    137,027,731x = 323,371,537 × 323,371,537
  4. Step 4: Simplify right side
    137,027,731x = 104,569,150,941,742,368
  5. Step 5: Solve for x
    x = 104,569,150,941,742,368/137,027,731
  6. Step 6: Final answer
    x = 763,124,005.47

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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.