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Finding the Third Proportional to 1,026,067,392 and 2,197,421,595

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Solution

The third proportional to 1,026,067,392 and 2,197,421,595 is: 4,705,988,811.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026,067,392 : 2,197,421,595 = 2,197,421,595 : x
  2. Step 2: Convert to fraction form
    1,026,067,392/2,197,421,595 = 2,197,421,595/x
  3. Step 3: Cross multiply
    1,026,067,392x = 2,197,421,595 × 2,197,421,595
  4. Step 4: Simplify right side
    1,026,067,392x = 4,828,661,666,172,344,320
  5. Step 5: Solve for x
    x = 4,828,661,666,172,344,320/1,026,067,392
  6. Step 6: Final answer
    x = 4,705,988,811.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.