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Finding the Third Proportional to 6,414,042 and 13,830,648

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Solution

The third proportional to 6,414,042 and 13,830,648 is: 29,823,132.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414,042 : 13,830,648 = 13,830,648 : x
  2. Step 2: Convert to fraction form
    6,414,042/13,830,648 = 13,830,648/x
  3. Step 3: Cross multiply
    6,414,042x = 13,830,648 × 13,830,648
  4. Step 4: Simplify right side
    6,414,042x = 191,286,824,099,904
  5. Step 5: Solve for x
    x = 191,286,824,099,904/6,414,042
  6. Step 6: Final answer
    x = 29,823,132.45

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.