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Finding the Third Proportional to 10,649,623.50 and 23,326,404.75

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Solution

The third proportional to 10,649,623.50 and 23,326,404.75 is: 51,092,994.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649,623.50 : 23,326,404.75 = 23,326,404.75 : x
  2. Step 2: Convert to fraction form
    10,649,623.50/23,326,404.75 = 23,326,404.75/x
  3. Step 3: Cross multiply
    10,649,623.50x = 23,326,404.75 × 23,326,404.75
  4. Step 4: Simplify right side
    10,649,623.50x = 544,121,158,560,822.56
  5. Step 5: Solve for x
    x = 544,121,158,560,822.56/10,649,623.50
  6. Step 6: Final answer
    x = 51,092,994.84

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