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Finding the Third Proportional to 10,648,840.50 and 23,323,821.75

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Solution

The third proportional to 10,648,840.50 and 23,323,821.75 is: 51,085,436.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648,840.50 : 23,323,821.75 = 23,323,821.75 : x
  2. Step 2: Convert to fraction form
    10,648,840.50/23,323,821.75 = 23,323,821.75/x
  3. Step 3: Cross multiply
    10,648,840.50x = 23,323,821.75 × 23,323,821.75
  4. Step 4: Simplify right side
    10,648,840.50x = 544,000,661,025,773.06
  5. Step 5: Solve for x
    x = 544,000,661,025,773.06/10,648,840.50
  6. Step 6: Final answer
    x = 51,085,436.11

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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.