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Finding the Third Proportional to 6,857,538 and 14,659,854

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Solution

The third proportional to 6,857,538 and 14,659,854 is: 31,339,428.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857,538 : 14,659,854 = 14,659,854 : x
  2. Step 2: Convert to fraction form
    6,857,538/14,659,854 = 14,659,854/x
  3. Step 3: Cross multiply
    6,857,538x = 14,659,854 × 14,659,854
  4. Step 4: Simplify right side
    6,857,538x = 214,911,319,301,316
  5. Step 5: Solve for x
    x = 214,911,319,301,316/6,857,538
  6. Step 6: Final answer
    x = 31,339,428.13

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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.