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Finding the Third Proportional to 1,283,226,357 and 2,750,621,601

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Solution

The third proportional to 1,283,226,357 and 2,750,621,601 is: 5,896,012,929.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283,226,357 : 2,750,621,601 = 2,750,621,601 : x
  2. Step 2: Convert to fraction form
    1,283,226,357/2,750,621,601 = 2,750,621,601/x
  3. Step 3: Cross multiply
    1,283,226,357x = 2,750,621,601 × 2,750,621,601
  4. Step 4: Simplify right side
    1,283,226,357x = 7,565,919,191,887,803,392
  5. Step 5: Solve for x
    x = 7,565,919,191,887,803,392/1,283,226,357
  6. Step 6: Final answer
    x = 5,896,012,929.14

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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.