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Finding the Third Proportional to 9,563,116 and 14,372,702

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Solution

The third proportional to 9,563,116 and 14,372,702 is: 21,601,177.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563,116 : 14,372,702 = 14,372,702 : x
  2. Step 2: Convert to fraction form
    9,563,116/14,372,702 = 14,372,702/x
  3. Step 3: Cross multiply
    9,563,116x = 14,372,702 × 14,372,702
  4. Step 4: Simplify right side
    9,563,116x = 206,574,562,780,804
  5. Step 5: Solve for x
    x = 206,574,562,780,804/9,563,116
  6. Step 6: Final answer
    x = 21,601,177.15

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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.