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Finding the Third Proportional to 23,539,894.50 and 49,880,104.50

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Solution

The third proportional to 23,539,894.50 and 49,880,104.50 is: 105,693,966.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,539,894.50 : 49,880,104.50 = 49,880,104.50 : x
  2. Step 2: Convert to fraction form
    23,539,894.50/49,880,104.50 = 49,880,104.50/x
  3. Step 3: Cross multiply
    23,539,894.50x = 49,880,104.50 × 49,880,104.50
  4. Step 4: Simplify right side
    23,539,894.50x = 2,488,024,824,930,920
  5. Step 5: Solve for x
    x = 2,488,024,824,930,920/23,539,894.50
  6. Step 6: Final answer
    x = 105,693,966.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.