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Finding the Third Proportional to 14,949,140 and 23,086,208

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Solution

The third proportional to 14,949,140 and 23,086,208 is: 35,652,418.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,949,140 : 23,086,208 = 23,086,208 : x
  2. Step 2: Convert to fraction form
    14,949,140/23,086,208 = 23,086,208/x
  3. Step 3: Cross multiply
    14,949,140x = 23,086,208 × 23,086,208
  4. Step 4: Simplify right side
    14,949,140x = 532,972,999,819,264
  5. Step 5: Solve for x
    x = 532,972,999,819,264/14,949,140
  6. Step 6: Final answer
    x = 35,652,418.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.