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Finding the Third Proportional to 8,967,420 and 12,583,063

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Solution

The third proportional to 8,967,420 and 12,583,063 is: 17,656,524.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,967,420 : 12,583,063 = 12,583,063 : x
  2. Step 2: Convert to fraction form
    8,967,420/12,583,063 = 12,583,063/x
  3. Step 3: Cross multiply
    8,967,420x = 12,583,063 × 12,583,063
  4. Step 4: Simplify right side
    8,967,420x = 158,333,474,461,969
  5. Step 5: Solve for x
    x = 158,333,474,461,969/8,967,420
  6. Step 6: Final answer
    x = 17,656,524.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.