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Finding the Third Proportional to 10,777,305 and 23,348,432.25

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Solution

The third proportional to 10,777,305 and 23,348,432.25 is: 50,583,080.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777,305 : 23,348,432.25 = 23,348,432.25 : x
  2. Step 2: Convert to fraction form
    10,777,305/23,348,432.25 = 23,348,432.25/x
  3. Step 3: Cross multiply
    10,777,305x = 23,348,432.25 × 23,348,432.25
  4. Step 4: Simplify right side
    10,777,305x = 545,149,288,532,840.06
  5. Step 5: Solve for x
    x = 545,149,288,532,840.06/10,777,305
  6. Step 6: Final answer
    x = 50,583,080.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.