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Finding the Third Proportional to 24,367,564 and 32,345,740

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Solution

The third proportional to 24,367,564 and 32,345,740 is: 42,936,047.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,367,564 : 32,345,740 = 32,345,740 : x
  2. Step 2: Convert to fraction form
    24,367,564/32,345,740 = 32,345,740/x
  3. Step 3: Cross multiply
    24,367,564x = 32,345,740 × 32,345,740
  4. Step 4: Simplify right side
    24,367,564x = 1,046,246,896,147,600
  5. Step 5: Solve for x
    x = 1,046,246,896,147,600/24,367,564
  6. Step 6: Final answer
    x = 42,936,047.94

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.