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Finding the Third Proportional to 10,539,207 and 23,501,704.50

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Solution

The third proportional to 10,539,207 and 23,501,704.50 is: 52,407,179.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,539,207 : 23,501,704.50 = 23,501,704.50 : x
  2. Step 2: Convert to fraction form
    10,539,207/23,501,704.50 = 23,501,704.50/x
  3. Step 3: Cross multiply
    10,539,207x = 23,501,704.50 × 23,501,704.50
  4. Step 4: Simplify right side
    10,539,207x = 552,330,114,405,320.25
  5. Step 5: Solve for x
    x = 552,330,114,405,320.25/10,539,207
  6. Step 6: Final answer
    x = 52,407,179.63

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.