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Finding the Third Proportional to 31,362,246.35 and 67,264,499.67

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Solution

The third proportional to 31,362,246.35 and 67,264,499.67 is: 144,266,225.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,362,246.35 : 67,264,499.67 = 67,264,499.67 : x
  2. Step 2: Convert to fraction form
    31,362,246.35/67,264,499.67 = 67,264,499.67/x
  3. Step 3: Cross multiply
    31,362,246.35x = 67,264,499.67 × 67,264,499.67
  4. Step 4: Simplify right side
    31,362,246.35x = 4,524,512,916,107,672
  5. Step 5: Solve for x
    x = 4,524,512,916,107,672/31,362,246.35
  6. Step 6: Final answer
    x = 144,266,225.88

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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.