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Finding the Third Proportional to 3,049,700.63 and 6,413,909.06

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Solution

The third proportional to 3,049,700.63 and 6,413,909.06 is: 13,489,268.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049,700.63 : 6,413,909.06 = 6,413,909.06 : x
  2. Step 2: Convert to fraction form
    3,049,700.63/6,413,909.06 = 6,413,909.06/x
  3. Step 3: Cross multiply
    3,049,700.63x = 6,413,909.06 × 6,413,909.06
  4. Step 4: Simplify right side
    3,049,700.63x = 41,138,229,462,019.62
  5. Step 5: Solve for x
    x = 41,138,229,462,019.62/3,049,700.63
  6. Step 6: Final answer
    x = 13,489,268.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.