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Finding the Third Proportional to 4,901,289.75 and 10,652,644.13

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Solution

The third proportional to 4,901,289.75 and 10,652,644.13 is: 23,152,850.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901,289.75 : 10,652,644.13 = 10,652,644.13 : x
  2. Step 2: Convert to fraction form
    4,901,289.75/10,652,644.13 = 10,652,644.13/x
  3. Step 3: Cross multiply
    4,901,289.75x = 10,652,644.13 × 10,652,644.13
  4. Step 4: Simplify right side
    4,901,289.75x = 113,478,826,853,897.02
  5. Step 5: Solve for x
    x = 113,478,826,853,897.02/4,901,289.75
  6. Step 6: Final answer
    x = 23,152,850.09

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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.