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Finding the Third Proportional to 49,104,423 and 68,275,792.50

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Solution

The third proportional to 49,104,423 and 68,275,792.50 is: 94,932,056.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,104,423 : 68,275,792.50 = 68,275,792.50 : x
  2. Step 2: Convert to fraction form
    49,104,423/68,275,792.50 = 68,275,792.50/x
  3. Step 3: Cross multiply
    49,104,423x = 68,275,792.50 × 68,275,792.50
  4. Step 4: Simplify right side
    49,104,423x = 4,661,583,841,503,056
  5. Step 5: Solve for x
    x = 4,661,583,841,503,056/49,104,423
  6. Step 6: Final answer
    x = 94,932,056.15

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.