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Finding the Third Proportional to 5,824,532 and 9,117,063

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Solution

The third proportional to 5,824,532 and 9,117,063 is: 14,270,818.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824,532 : 9,117,063 = 9,117,063 : x
  2. Step 2: Convert to fraction form
    5,824,532/9,117,063 = 9,117,063/x
  3. Step 3: Cross multiply
    5,824,532x = 9,117,063 × 9,117,063
  4. Step 4: Simplify right side
    5,824,532x = 83,120,837,745,969
  5. Step 5: Solve for x
    x = 83,120,837,745,969/5,824,532
  6. Step 6: Final answer
    x = 14,270,818.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.