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Finding the Third Proportional to 24,008,970 and 52,684,348

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Solution

The third proportional to 24,008,970 and 52,684,348 is: 115,608,479.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,008,970 : 52,684,348 = 52,684,348 : x
  2. Step 2: Convert to fraction form
    24,008,970/52,684,348 = 52,684,348/x
  3. Step 3: Cross multiply
    24,008,970x = 52,684,348 × 52,684,348
  4. Step 4: Simplify right side
    24,008,970x = 2,775,640,524,185,104
  5. Step 5: Solve for x
    x = 2,775,640,524,185,104/24,008,970
  6. Step 6: Final answer
    x = 115,608,479.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.