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Finding the Third Proportional to 6,721,838 and 10,331,948

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Solution

The third proportional to 6,721,838 and 10,331,948 is: 15,880,946.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,721,838 : 10,331,948 = 10,331,948 : x
  2. Step 2: Convert to fraction form
    6,721,838/10,331,948 = 10,331,948/x
  3. Step 3: Cross multiply
    6,721,838x = 10,331,948 × 10,331,948
  4. Step 4: Simplify right side
    6,721,838x = 106,749,149,474,704
  5. Step 5: Solve for x
    x = 106,749,149,474,704/6,721,838
  6. Step 6: Final answer
    x = 15,880,946.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.