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Finding the Third Proportional to 49,465,590 and 68,352,097

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Solution

The third proportional to 49,465,590 and 68,352,097 is: 94,449,680.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,465,590 : 68,352,097 = 68,352,097 : x
  2. Step 2: Convert to fraction form
    49,465,590/68,352,097 = 68,352,097/x
  3. Step 3: Cross multiply
    49,465,590x = 68,352,097 × 68,352,097
  4. Step 4: Simplify right side
    49,465,590x = 4,672,009,164,297,409
  5. Step 5: Solve for x
    x = 4,672,009,164,297,409/49,465,590
  6. Step 6: Final answer
    x = 94,449,680.36

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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.