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Finding the Third Proportional to 9,287,810 and 13,986,435

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Solution

The third proportional to 9,287,810 and 13,986,435 is: 21,062,054.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287,810 : 13,986,435 = 13,986,435 : x
  2. Step 2: Convert to fraction form
    9,287,810/13,986,435 = 13,986,435/x
  3. Step 3: Cross multiply
    9,287,810x = 13,986,435 × 13,986,435
  4. Step 4: Simplify right side
    9,287,810x = 195,620,364,009,225
  5. Step 5: Solve for x
    x = 195,620,364,009,225/9,287,810
  6. Step 6: Final answer
    x = 21,062,054.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.