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Finding the Third Proportional to 10,640,488 and 16,509,606

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Solution

The third proportional to 10,640,488 and 16,509,606 is: 25,616,032.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640,488 : 16,509,606 = 16,509,606 : x
  2. Step 2: Convert to fraction form
    10,640,488/16,509,606 = 16,509,606/x
  3. Step 3: Cross multiply
    10,640,488x = 16,509,606 × 16,509,606
  4. Step 4: Simplify right side
    10,640,488x = 272,567,090,275,236
  5. Step 5: Solve for x
    x = 272,567,090,275,236/10,640,488
  6. Step 6: Final answer
    x = 25,616,032.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.