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Finding the Third Proportional to 2,246,225,226 and 4,804,034,475

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Solution

The third proportional to 2,246,225,226 and 4,804,034,475 is: 10,274,458,219.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246,225,226 : 4,804,034,475 = 4,804,034,475 : x
  2. Step 2: Convert to fraction form
    2,246,225,226/4,804,034,475 = 4,804,034,475/x
  3. Step 3: Cross multiply
    2,246,225,226x = 4,804,034,475 × 4,804,034,475
  4. Step 4: Simplify right side
    2,246,225,226x = 23,078,747,236,988,526,592
  5. Step 5: Solve for x
    x = 23,078,747,236,988,526,592/2,246,225,226
  6. Step 6: Final answer
    x = 10,274,458,219.88

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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.