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Finding the Third Proportional to 13,532,920.50 and 31,577,905.88

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Solution

The third proportional to 13,532,920.50 and 31,577,905.88 is: 73,684,327.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532,920.50 : 31,577,905.88 = 31,577,905.88 : x
  2. Step 2: Convert to fraction form
    13,532,920.50/31,577,905.88 = 31,577,905.88/x
  3. Step 3: Cross multiply
    13,532,920.50x = 31,577,905.88 × 31,577,905.88
  4. Step 4: Simplify right side
    13,532,920.50x = 997,164,139,450,359.50
  5. Step 5: Solve for x
    x = 997,164,139,450,359.50/13,532,920.50
  6. Step 6: Final answer
    x = 73,684,327.00

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.