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Finding the Third Proportional to 49,104,878 and 68,276,409

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Solution

The third proportional to 49,104,878 and 68,276,409 is: 94,932,890.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,104,878 : 68,276,409 = 68,276,409 : x
  2. Step 2: Convert to fraction form
    49,104,878/68,276,409 = 68,276,409/x
  3. Step 3: Cross multiply
    49,104,878x = 68,276,409 × 68,276,409
  4. Step 4: Simplify right side
    49,104,878x = 4,661,668,025,935,281
  5. Step 5: Solve for x
    x = 4,661,668,025,935,281/49,104,878
  6. Step 6: Final answer
    x = 94,932,890.90

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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.