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Finding the Third Proportional to 10,363,164 and 14,491,690

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Solution

The third proportional to 10,363,164 and 14,491,690 is: 20,264,957.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,363,164 : 14,491,690 = 14,491,690 : x
  2. Step 2: Convert to fraction form
    10,363,164/14,491,690 = 14,491,690/x
  3. Step 3: Cross multiply
    10,363,164x = 14,491,690 × 14,491,690
  4. Step 4: Simplify right side
    10,363,164x = 210,009,079,056,100
  5. Step 5: Solve for x
    x = 210,009,079,056,100/10,363,164
  6. Step 6: Final answer
    x = 20,264,957.60

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.