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Finding the Third Proportional to 10,843,378 and 22,804,987

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Solution

The third proportional to 10,843,378 and 22,804,987 is: 47,961,754.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,843,378 : 22,804,987 = 22,804,987 : x
  2. Step 2: Convert to fraction form
    10,843,378/22,804,987 = 22,804,987/x
  3. Step 3: Cross multiply
    10,843,378x = 22,804,987 × 22,804,987
  4. Step 4: Simplify right side
    10,843,378x = 520,067,432,070,169
  5. Step 5: Solve for x
    x = 520,067,432,070,169/10,843,378
  6. Step 6: Final answer
    x = 47,961,754.36

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.