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Finding the Third Proportional to 31,723,254 and 69,491,374.50

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Solution

The third proportional to 31,723,254 and 69,491,374.50 is: 152,224,331.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,723,254 : 69,491,374.50 = 69,491,374.50 : x
  2. Step 2: Convert to fraction form
    31,723,254/69,491,374.50 = 69,491,374.50/x
  3. Step 3: Cross multiply
    31,723,254x = 69,491,374.50 × 69,491,374.50
  4. Step 4: Simplify right side
    31,723,254x = 4,829,051,129,899,250
  5. Step 5: Solve for x
    x = 4,829,051,129,899,250/31,723,254
  6. Step 6: Final answer
    x = 152,224,331.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.