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Finding the Third Proportional to 5,878,828 and 12,597,464

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Solution

The third proportional to 5,878,828 and 12,597,464 is: 26,994,513.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878,828 : 12,597,464 = 12,597,464 : x
  2. Step 2: Convert to fraction form
    5,878,828/12,597,464 = 12,597,464/x
  3. Step 3: Cross multiply
    5,878,828x = 12,597,464 × 12,597,464
  4. Step 4: Simplify right side
    5,878,828x = 158,696,099,231,296
  5. Step 5: Solve for x
    x = 158,696,099,231,296/5,878,828
  6. Step 6: Final answer
    x = 26,994,513.06

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.