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Finding the Third Proportional to 9,288,826 and 14,347,409

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Solution

The third proportional to 9,288,826 and 14,347,409 is: 22,160,835.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288,826 : 14,347,409 = 14,347,409 : x
  2. Step 2: Convert to fraction form
    9,288,826/14,347,409 = 14,347,409/x
  3. Step 3: Cross multiply
    9,288,826x = 14,347,409 × 14,347,409
  4. Step 4: Simplify right side
    9,288,826x = 205,848,145,013,281
  5. Step 5: Solve for x
    x = 205,848,145,013,281/9,288,826
  6. Step 6: Final answer
    x = 22,160,835.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.