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Finding the Third Proportional to 2,965,746 and 6,475,164

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Solution

The third proportional to 2,965,746 and 6,475,164 is: 14,137,336.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965,746 : 6,475,164 = 6,475,164 : x
  2. Step 2: Convert to fraction form
    2,965,746/6,475,164 = 6,475,164/x
  3. Step 3: Cross multiply
    2,965,746x = 6,475,164 × 6,475,164
  4. Step 4: Simplify right side
    2,965,746x = 41,927,748,826,896
  5. Step 5: Solve for x
    x = 41,927,748,826,896/2,965,746
  6. Step 6: Final answer
    x = 14,137,336.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.