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Finding the Third Proportional to 7,817,550 and 11,787,844

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Solution

The third proportional to 7,817,550 and 11,787,844 is: 17,774,528.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817,550 : 11,787,844 = 11,787,844 : x
  2. Step 2: Convert to fraction form
    7,817,550/11,787,844 = 11,787,844/x
  3. Step 3: Cross multiply
    7,817,550x = 11,787,844 × 11,787,844
  4. Step 4: Simplify right side
    7,817,550x = 138,953,266,168,336
  5. Step 5: Solve for x
    x = 138,953,266,168,336/7,817,550
  6. Step 6: Final answer
    x = 17,774,528.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.