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Finding the Third Proportional to 10,061,772 and 14,223,649

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Solution

The third proportional to 10,061,772 and 14,223,649 is: 20,107,014.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,061,772 : 14,223,649 = 14,223,649 : x
  2. Step 2: Convert to fraction form
    10,061,772/14,223,649 = 14,223,649/x
  3. Step 3: Cross multiply
    10,061,772x = 14,223,649 × 14,223,649
  4. Step 4: Simplify right side
    10,061,772x = 202,312,190,875,201
  5. Step 5: Solve for x
    x = 202,312,190,875,201/10,061,772
  6. Step 6: Final answer
    x = 20,107,014.04

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.