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Finding the Third Proportional to 1,241,226,467 and 2,700,375,253

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Solution

The third proportional to 1,241,226,467 and 2,700,375,253 is: 5,874,855,798.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241,226,467 : 2,700,375,253 = 2,700,375,253 : x
  2. Step 2: Convert to fraction form
    1,241,226,467/2,700,375,253 = 2,700,375,253/x
  3. Step 3: Cross multiply
    1,241,226,467x = 2,700,375,253 × 2,700,375,253
  4. Step 4: Simplify right side
    1,241,226,467x = 7,292,026,507,014,813,696
  5. Step 5: Solve for x
    x = 7,292,026,507,014,813,696/1,241,226,467
  6. Step 6: Final answer
    x = 5,874,855,798.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.