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Finding the Third Proportional to 2,160,357 and 4,727,370

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Solution

The third proportional to 2,160,357 and 4,727,370 is: 10,344,599.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160,357 : 4,727,370 = 4,727,370 : x
  2. Step 2: Convert to fraction form
    2,160,357/4,727,370 = 4,727,370/x
  3. Step 3: Cross multiply
    2,160,357x = 4,727,370 × 4,727,370
  4. Step 4: Simplify right side
    2,160,357x = 22,348,027,116,900
  5. Step 5: Solve for x
    x = 22,348,027,116,900/2,160,357
  6. Step 6: Final answer
    x = 10,344,599.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.