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Finding the Third Proportional to 6,661,854 and 14,522,184

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Solution

The third proportional to 6,661,854 and 14,522,184 is: 31,656,927.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661,854 : 14,522,184 = 14,522,184 : x
  2. Step 2: Convert to fraction form
    6,661,854/14,522,184 = 14,522,184/x
  3. Step 3: Cross multiply
    6,661,854x = 14,522,184 × 14,522,184
  4. Step 4: Simplify right side
    6,661,854x = 210,893,828,129,856
  5. Step 5: Solve for x
    x = 210,893,828,129,856/6,661,854
  6. Step 6: Final answer
    x = 31,656,927.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.