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Finding the Third Proportional to 38,150,293,880,152 and 83,205,389,452,840

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Solution

The third proportional to 38,150,293,880,152 and 83,205,389,452,840 is: 181,470,078,729,867.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,150,293,880,152 : 83,205,389,452,840 = 83,205,389,452,840 : x
  2. Step 2: Convert to fraction form
    38,150,293,880,152/83,205,389,452,840 = 83,205,389,452,840/x
  3. Step 3: Cross multiply
    38,150,293,880,152x = 83,205,389,452,840 × 83,205,389,452,840
  4. Step 4: Simplify right side
    38,150,293,880,152x = 6,923,136,833,998,777,796,125,523,968
  5. Step 5: Solve for x
    x = 6,923,136,833,998,777,796,125,523,968/38,150,293,880,152
  6. Step 6: Final answer
    x = 181,470,078,729,867.81

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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.