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Finding the Third Proportional to 27,662,941 and 44,446,807.50

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Solution

The third proportional to 27,662,941 and 44,446,807.50 is: 71,413,907.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,662,941 : 44,446,807.50 = 44,446,807.50 : x
  2. Step 2: Convert to fraction form
    27,662,941/44,446,807.50 = 44,446,807.50/x
  3. Step 3: Cross multiply
    27,662,941x = 44,446,807.50 × 44,446,807.50
  4. Step 4: Simplify right side
    27,662,941x = 1,975,518,696,942,056.25
  5. Step 5: Solve for x
    x = 1,975,518,696,942,056.25/27,662,941
  6. Step 6: Final answer
    x = 71,413,907.04

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.