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Finding the Third Proportional to 47,524,456,578 and 100,714,937,808

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Solution

The third proportional to 47,524,456,578 and 100,714,937,808 is: 213,437,447,328.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,524,456,578 : 100,714,937,808 = 100,714,937,808 : x
  2. Step 2: Convert to fraction form
    47,524,456,578/100,714,937,808 = 100,714,937,808/x
  3. Step 3: Cross multiply
    47,524,456,578x = 100,714,937,808 × 100,714,937,808
  4. Step 4: Simplify right side
    47,524,456,578x = 10,143,498,697,669,307,531,264
  5. Step 5: Solve for x
    x = 10,143,498,697,669,307,531,264/47,524,456,578
  6. Step 6: Final answer
    x = 213,437,447,328.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.