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Finding the Third Proportional to 10,333,890 and 16,128,747

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Solution

The third proportional to 10,333,890 and 16,128,747 is: 25,173,141.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,333,890 : 16,128,747 = 16,128,747 : x
  2. Step 2: Convert to fraction form
    10,333,890/16,128,747 = 16,128,747/x
  3. Step 3: Cross multiply
    10,333,890x = 16,128,747 × 16,128,747
  4. Step 4: Simplify right side
    10,333,890x = 260,136,479,790,009
  5. Step 5: Solve for x
    x = 260,136,479,790,009/10,333,890
  6. Step 6: Final answer
    x = 25,173,141.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.