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Finding the Third Proportional to 9,970,187.44 and 21,641,963.44

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Solution

The third proportional to 9,970,187.44 and 21,641,963.44 is: 46,977,510.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970,187.44 : 21,641,963.44 = 21,641,963.44 : x
  2. Step 2: Convert to fraction form
    9,970,187.44/21,641,963.44 = 21,641,963.44/x
  3. Step 3: Cross multiply
    9,970,187.44x = 21,641,963.44 × 21,641,963.44
  4. Step 4: Simplify right side
    9,970,187.44x = 468,374,581,430,086.81
  5. Step 5: Solve for x
    x = 468,374,581,430,086.81/9,970,187.44
  6. Step 6: Final answer
    x = 46,977,510.14

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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.