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Finding the Third Proportional to 30,441,094 and 45,919,689

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Solution

The third proportional to 30,441,094 and 45,919,689 is: 69,268,792.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,441,094 : 45,919,689 = 45,919,689 : x
  2. Step 2: Convert to fraction form
    30,441,094/45,919,689 = 45,919,689/x
  3. Step 3: Cross multiply
    30,441,094x = 45,919,689 × 45,919,689
  4. Step 4: Simplify right side
    30,441,094x = 2,108,617,837,856,721
  5. Step 5: Solve for x
    x = 2,108,617,837,856,721/30,441,094
  6. Step 6: Final answer
    x = 69,268,792.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.