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Finding the Third Proportional to 10,645,206 and 16,677,360

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Solution

The third proportional to 10,645,206 and 16,677,360 is: 26,127,661.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,645,206 : 16,677,360 = 16,677,360 : x
  2. Step 2: Convert to fraction form
    10,645,206/16,677,360 = 16,677,360/x
  3. Step 3: Cross multiply
    10,645,206x = 16,677,360 × 16,677,360
  4. Step 4: Simplify right side
    10,645,206x = 278,134,336,569,600
  5. Step 5: Solve for x
    x = 278,134,336,569,600/10,645,206
  6. Step 6: Final answer
    x = 26,127,661.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.