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Finding the Third Proportional to 31,882,774.50 and 66,596,073.75

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Solution

The third proportional to 31,882,774.50 and 66,596,073.75 is: 139,104,488.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,882,774.50 : 66,596,073.75 = 66,596,073.75 : x
  2. Step 2: Convert to fraction form
    31,882,774.50/66,596,073.75 = 66,596,073.75/x
  3. Step 3: Cross multiply
    31,882,774.50x = 66,596,073.75 × 66,596,073.75
  4. Step 4: Simplify right side
    31,882,774.50x = 4,435,037,038,915,439
  5. Step 5: Solve for x
    x = 4,435,037,038,915,439/31,882,774.50
  6. Step 6: Final answer
    x = 139,104,488.50

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.