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Finding the Third Proportional to 9,702,123 and 14,551,965

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Solution

The third proportional to 9,702,123 and 14,551,965 is: 21,826,118.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702,123 : 14,551,965 = 14,551,965 : x
  2. Step 2: Convert to fraction form
    9,702,123/14,551,965 = 14,551,965/x
  3. Step 3: Cross multiply
    9,702,123x = 14,551,965 × 14,551,965
  4. Step 4: Simplify right side
    9,702,123x = 211,759,685,361,225
  5. Step 5: Solve for x
    x = 211,759,685,361,225/9,702,123
  6. Step 6: Final answer
    x = 21,826,118.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.