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Finding the Third Proportional to 31,064,152 and 48,624,306

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Solution

The third proportional to 31,064,152 and 48,624,306 is: 76,110,982.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,064,152 : 48,624,306 = 48,624,306 : x
  2. Step 2: Convert to fraction form
    31,064,152/48,624,306 = 48,624,306/x
  3. Step 3: Cross multiply
    31,064,152x = 48,624,306 × 48,624,306
  4. Step 4: Simplify right side
    31,064,152x = 2,364,323,133,981,636
  5. Step 5: Solve for x
    x = 2,364,323,133,981,636/31,064,152
  6. Step 6: Final answer
    x = 76,110,982.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.