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Finding the Third Proportional to 5,920,742.25 and 12,755,103.75

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Solution

The third proportional to 5,920,742.25 and 12,755,103.75 is: 27,478,424.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,920,742.25 : 12,755,103.75 = 12,755,103.75 : x
  2. Step 2: Convert to fraction form
    5,920,742.25/12,755,103.75 = 12,755,103.75/x
  3. Step 3: Cross multiply
    5,920,742.25x = 12,755,103.75 × 12,755,103.75
  4. Step 4: Simplify right side
    5,920,742.25x = 162,692,671,673,264.06
  5. Step 5: Solve for x
    x = 162,692,671,673,264.06/5,920,742.25
  6. Step 6: Final answer
    x = 27,478,424.97

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.