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Finding the Third Proportional to 6,092,924 and 13,138,013

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Solution

The third proportional to 6,092,924 and 13,138,013 is: 28,329,154.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092,924 : 13,138,013 = 13,138,013 : x
  2. Step 2: Convert to fraction form
    6,092,924/13,138,013 = 13,138,013/x
  3. Step 3: Cross multiply
    6,092,924x = 13,138,013 × 13,138,013
  4. Step 4: Simplify right side
    6,092,924x = 172,607,385,588,169
  5. Step 5: Solve for x
    x = 172,607,385,588,169/6,092,924
  6. Step 6: Final answer
    x = 28,329,154.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.