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Finding the Third Proportional to 31,038,007 and 73,165,201

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Solution

The third proportional to 31,038,007 and 73,165,201 is: 172,470,694.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,038,007 : 73,165,201 = 73,165,201 : x
  2. Step 2: Convert to fraction form
    31,038,007/73,165,201 = 73,165,201/x
  3. Step 3: Cross multiply
    31,038,007x = 73,165,201 × 73,165,201
  4. Step 4: Simplify right side
    31,038,007x = 5,353,146,637,370,401
  5. Step 5: Solve for x
    x = 5,353,146,637,370,401/31,038,007
  6. Step 6: Final answer
    x = 172,470,694.96

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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.