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Finding the Third Proportional to 4,294,721.25 and 9,261,929.81

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Solution

The third proportional to 4,294,721.25 and 9,261,929.81 is: 19,974,135.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294,721.25 : 9,261,929.81 = 9,261,929.81 : x
  2. Step 2: Convert to fraction form
    4,294,721.25/9,261,929.81 = 9,261,929.81/x
  3. Step 3: Cross multiply
    4,294,721.25x = 9,261,929.81 × 9,261,929.81
  4. Step 4: Simplify right side
    4,294,721.25x = 85,783,343,851,676.28
  5. Step 5: Solve for x
    x = 85,783,343,851,676.28/4,294,721.25
  6. Step 6: Final answer
    x = 19,974,135.42

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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.