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Finding the Third Proportional to 6,831,644 and 14,676,328

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Solution

The third proportional to 6,831,644 and 14,676,328 is: 31,528,956.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831,644 : 14,676,328 = 14,676,328 : x
  2. Step 2: Convert to fraction form
    6,831,644/14,676,328 = 14,676,328/x
  3. Step 3: Cross multiply
    6,831,644x = 14,676,328 × 14,676,328
  4. Step 4: Simplify right side
    6,831,644x = 215,394,603,563,584
  5. Step 5: Solve for x
    x = 215,394,603,563,584/6,831,644
  6. Step 6: Final answer
    x = 31,528,956.07

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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.