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Finding the Third Proportional to 20,410,097,234 and 31,947,376,629

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Solution

The third proportional to 20,410,097,234 and 31,947,376,629 is: 50,006,369,973.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,410,097,234 : 31,947,376,629 = 31,947,376,629 : x
  2. Step 2: Convert to fraction form
    20,410,097,234/31,947,376,629 = 31,947,376,629/x
  3. Step 3: Cross multiply
    20,410,097,234x = 31,947,376,629 × 31,947,376,629
  4. Step 4: Simplify right side
    20,410,097,234x = 1,020,634,873,475,175,415,808
  5. Step 5: Solve for x
    x = 1,020,634,873,475,175,415,808/20,410,097,234
  6. Step 6: Final answer
    x = 50,006,369,973.34

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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.