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Finding the Third Proportional to 81,818,053,344 and 191,163,890,407.50

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Solution

The third proportional to 81,818,053,344 and 191,163,890,407.50 is: 446,645,104,621.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,818,053,344 : 191,163,890,407.50 = 191,163,890,407.50 : x
  2. Step 2: Convert to fraction form
    81,818,053,344/191,163,890,407.50 = 191,163,890,407.50/x
  3. Step 3: Cross multiply
    81,818,053,344x = 191,163,890,407.50 × 191,163,890,407.50
  4. Step 4: Simplify right side
    81,818,053,344x = 36,543,632,995,730,669,436,928
  5. Step 5: Solve for x
    x = 36,543,632,995,730,669,436,928/81,818,053,344
  6. Step 6: Final answer
    x = 446,645,104,621.16

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.