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Finding the Third Proportional to 21,076,540.50 and 31,614,808.69

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Solution

The third proportional to 21,076,540.50 and 31,614,808.69 is: 47,422,209.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,076,540.50 : 31,614,808.69 = 31,614,808.69 : x
  2. Step 2: Convert to fraction form
    21,076,540.50/31,614,808.69 = 31,614,808.69/x
  3. Step 3: Cross multiply
    21,076,540.50x = 31,614,808.69 × 31,614,808.69
  4. Step 4: Simplify right side
    21,076,540.50x = 999,496,128,347,225.50
  5. Step 5: Solve for x
    x = 999,496,128,347,225.50/21,076,540.50
  6. Step 6: Final answer
    x = 47,422,209.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.