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Finding the Third Proportional to 6,837,514 and 14,590,292

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Solution

The third proportional to 6,837,514 and 14,590,292 is: 31,133,628.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837,514 : 14,590,292 = 14,590,292 : x
  2. Step 2: Convert to fraction form
    6,837,514/14,590,292 = 14,590,292/x
  3. Step 3: Cross multiply
    6,837,514x = 14,590,292 × 14,590,292
  4. Step 4: Simplify right side
    6,837,514x = 212,876,620,645,264
  5. Step 5: Solve for x
    x = 212,876,620,645,264/6,837,514
  6. Step 6: Final answer
    x = 31,133,628.49

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.