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Finding the Third Proportional to 23,684,834.25 and 51,827,432.06

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Solution

The third proportional to 23,684,834.25 and 51,827,432.06 is: 113,409,394.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,684,834.25 : 51,827,432.06 = 51,827,432.06 : x
  2. Step 2: Convert to fraction form
    23,684,834.25/51,827,432.06 = 51,827,432.06/x
  3. Step 3: Cross multiply
    23,684,834.25x = 51,827,432.06 × 51,827,432.06
  4. Step 4: Simplify right side
    23,684,834.25x = 2,686,082,714,193,053
  5. Step 5: Solve for x
    x = 2,686,082,714,193,053/23,684,834.25
  6. Step 6: Final answer
    x = 113,409,394.63

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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.