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Finding the Third Proportional to 2,502,464 and 5,359,168

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Solution

The third proportional to 2,502,464 and 5,359,168 is: 11,476,960.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502,464 : 5,359,168 = 5,359,168 : x
  2. Step 2: Convert to fraction form
    2,502,464/5,359,168 = 5,359,168/x
  3. Step 3: Cross multiply
    2,502,464x = 5,359,168 × 5,359,168
  4. Step 4: Simplify right side
    2,502,464x = 28,720,681,652,224
  5. Step 5: Solve for x
    x = 28,720,681,652,224/2,502,464
  6. Step 6: Final answer
    x = 11,476,960.97

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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.