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Finding the Third Proportional to 31,195,459 and 67,323,356

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Solution

The third proportional to 31,195,459 and 67,323,356 is: 145,291,475.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,195,459 : 67,323,356 = 67,323,356 : x
  2. Step 2: Convert to fraction form
    31,195,459/67,323,356 = 67,323,356/x
  3. Step 3: Cross multiply
    31,195,459x = 67,323,356 × 67,323,356
  4. Step 4: Simplify right side
    31,195,459x = 4,532,434,263,102,736
  5. Step 5: Solve for x
    x = 4,532,434,263,102,736/31,195,459
  6. Step 6: Final answer
    x = 145,291,475.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.