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Finding the Third Proportional to 18,732,292,761 and 40,450,188,117

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Solution

The third proportional to 18,732,292,761 and 40,450,188,117 is: 87,347,434,698.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,732,292,761 : 40,450,188,117 = 40,450,188,117 : x
  2. Step 2: Convert to fraction form
    18,732,292,761/40,450,188,117 = 40,450,188,117/x
  3. Step 3: Cross multiply
    18,732,292,761x = 40,450,188,117 × 40,450,188,117
  4. Step 4: Simplify right side
    18,732,292,761x = 1,636,217,718,700,688,015,360
  5. Step 5: Solve for x
    x = 1,636,217,718,700,688,015,360/18,732,292,761
  6. Step 6: Final answer
    x = 87,347,434,698.82

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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.