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Finding the Third Proportional to 4,364,163,902 and 9,573,252,410

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Solution

The third proportional to 4,364,163,902 and 9,573,252,410 is: 20,999,935,786.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,364,163,902 : 9,573,252,410 = 9,573,252,410 : x
  2. Step 2: Convert to fraction form
    4,364,163,902/9,573,252,410 = 9,573,252,410/x
  3. Step 3: Cross multiply
    4,364,163,902x = 9,573,252,410 × 9,573,252,410
  4. Step 4: Simplify right side
    4,364,163,902x = 91,647,161,705,570,811,904
  5. Step 5: Solve for x
    x = 91,647,161,705,570,811,904/4,364,163,902
  6. Step 6: Final answer
    x = 20,999,935,786.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.