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Finding the Third Proportional to 5,071,230 and 11,276,316

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Solution

The third proportional to 5,071,230 and 11,276,316 is: 25,073,858.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071,230 : 11,276,316 = 11,276,316 : x
  2. Step 2: Convert to fraction form
    5,071,230/11,276,316 = 11,276,316/x
  3. Step 3: Cross multiply
    5,071,230x = 11,276,316 × 11,276,316
  4. Step 4: Simplify right side
    5,071,230x = 127,155,302,531,856
  5. Step 5: Solve for x
    x = 127,155,302,531,856/5,071,230
  6. Step 6: Final answer
    x = 25,073,858.32

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.