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Finding the Third Proportional to 14,332,053 and 31,183,485

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Solution

The third proportional to 14,332,053 and 31,183,485 is: 67,848,600.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,332,053 : 31,183,485 = 31,183,485 : x
  2. Step 2: Convert to fraction form
    14,332,053/31,183,485 = 31,183,485/x
  3. Step 3: Cross multiply
    14,332,053x = 31,183,485 × 31,183,485
  4. Step 4: Simplify right side
    14,332,053x = 972,409,736,745,225
  5. Step 5: Solve for x
    x = 972,409,736,745,225/14,332,053
  6. Step 6: Final answer
    x = 67,848,600.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.