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Finding the Third Proportional to 2,269,801.13 and 4,898,173.50

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Solution

The third proportional to 2,269,801.13 and 4,898,173.50 is: 10,570,134.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269,801.13 : 4,898,173.50 = 4,898,173.50 : x
  2. Step 2: Convert to fraction form
    2,269,801.13/4,898,173.50 = 4,898,173.50/x
  3. Step 3: Cross multiply
    2,269,801.13x = 4,898,173.50 × 4,898,173.50
  4. Step 4: Simplify right side
    2,269,801.13x = 23,992,103,636,102.25
  5. Step 5: Solve for x
    x = 23,992,103,636,102.25/2,269,801.13
  6. Step 6: Final answer
    x = 10,570,134.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.