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Finding the Third Proportional to 7,583,544 and 16,229,970

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Solution

The third proportional to 7,583,544 and 16,229,970 is: 34,734,673.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583,544 : 16,229,970 = 16,229,970 : x
  2. Step 2: Convert to fraction form
    7,583,544/16,229,970 = 16,229,970/x
  3. Step 3: Cross multiply
    7,583,544x = 16,229,970 × 16,229,970
  4. Step 4: Simplify right side
    7,583,544x = 263,411,926,200,900
  5. Step 5: Solve for x
    x = 263,411,926,200,900/7,583,544
  6. Step 6: Final answer
    x = 34,734,673.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.