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Finding the Third Proportional to 29,841,864,524 and 64,718,809,362

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Solution

The third proportional to 29,841,864,524 and 64,718,809,362 is: 140,357,325,255.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,841,864,524 : 64,718,809,362 = 64,718,809,362 : x
  2. Step 2: Convert to fraction form
    29,841,864,524/64,718,809,362 = 64,718,809,362/x
  3. Step 3: Cross multiply
    29,841,864,524x = 64,718,809,362 × 64,718,809,362
  4. Step 4: Simplify right side
    29,841,864,524x = 4,188,524,285,234,898,796,544
  5. Step 5: Solve for x
    x = 4,188,524,285,234,898,796,544/29,841,864,524
  6. Step 6: Final answer
    x = 140,357,325,255.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.