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Finding the Third Proportional to 6,878,180 and 14,575,648

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Solution

The third proportional to 6,878,180 and 14,575,648 is: 30,887,460.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878,180 : 14,575,648 = 14,575,648 : x
  2. Step 2: Convert to fraction form
    6,878,180/14,575,648 = 14,575,648/x
  3. Step 3: Cross multiply
    6,878,180x = 14,575,648 × 14,575,648
  4. Step 4: Simplify right side
    6,878,180x = 212,449,514,619,904
  5. Step 5: Solve for x
    x = 212,449,514,619,904/6,878,180
  6. Step 6: Final answer
    x = 30,887,460.73

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.