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Finding the Third Proportional to 6,837,540 and 14,590,344

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Solution

The third proportional to 6,837,540 and 14,590,344 is: 31,133,732.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837,540 : 14,590,344 = 14,590,344 : x
  2. Step 2: Convert to fraction form
    6,837,540/14,590,344 = 14,590,344/x
  3. Step 3: Cross multiply
    6,837,540x = 14,590,344 × 14,590,344
  4. Step 4: Simplify right side
    6,837,540x = 212,878,138,038,336
  5. Step 5: Solve for x
    x = 212,878,138,038,336/6,837,540
  6. Step 6: Final answer
    x = 31,133,732.02

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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.