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Finding the Third Proportional to 10,932,598.50 and 23,918,348.25

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Solution

The third proportional to 10,932,598.50 and 23,918,348.25 is: 52,328,582.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,932,598.50 : 23,918,348.25 = 23,918,348.25 : x
  2. Step 2: Convert to fraction form
    10,932,598.50/23,918,348.25 = 23,918,348.25/x
  3. Step 3: Cross multiply
    10,932,598.50x = 23,918,348.25 × 23,918,348.25
  4. Step 4: Simplify right side
    10,932,598.50x = 572,087,383,008,278
  5. Step 5: Solve for x
    x = 572,087,383,008,278/10,932,598.50
  6. Step 6: Final answer
    x = 52,328,582.54

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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.