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Finding the Third Proportional to 2,969,216 and 6,358,336

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Solution

The third proportional to 2,969,216 and 6,358,336 is: 13,615,862.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969,216 : 6,358,336 = 6,358,336 : x
  2. Step 2: Convert to fraction form
    2,969,216/6,358,336 = 6,358,336/x
  3. Step 3: Cross multiply
    2,969,216x = 6,358,336 × 6,358,336
  4. Step 4: Simplify right side
    2,969,216x = 40,428,436,688,896
  5. Step 5: Solve for x
    x = 40,428,436,688,896/2,969,216
  6. Step 6: Final answer
    x = 13,615,862.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.