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Finding the Third Proportional to 29,893,920.75 and 65,371,252.50

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Solution

The third proportional to 29,893,920.75 and 65,371,252.50 is: 142,952,163.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,893,920.75 : 65,371,252.50 = 65,371,252.50 : x
  2. Step 2: Convert to fraction form
    29,893,920.75/65,371,252.50 = 65,371,252.50/x
  3. Step 3: Cross multiply
    29,893,920.75x = 65,371,252.50 × 65,371,252.50
  4. Step 4: Simplify right side
    29,893,920.75x = 4,273,400,653,418,756
  5. Step 5: Solve for x
    x = 4,273,400,653,418,756/29,893,920.75
  6. Step 6: Final answer
    x = 142,952,163.72

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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.