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Finding the Third Proportional to 13,934,787.50 and 19,255,342.50

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Solution

The third proportional to 13,934,787.50 and 19,255,342.50 is: 26,607,382.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,934,787.50 : 19,255,342.50 = 19,255,342.50 : x
  2. Step 2: Convert to fraction form
    13,934,787.50/19,255,342.50 = 19,255,342.50/x
  3. Step 3: Cross multiply
    13,934,787.50x = 19,255,342.50 × 19,255,342.50
  4. Step 4: Simplify right side
    13,934,787.50x = 370,768,214,792,306.25
  5. Step 5: Solve for x
    x = 370,768,214,792,306.25/13,934,787.50
  6. Step 6: Final answer
    x = 26,607,382.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.