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Finding the Third Proportional to 6,616,543.22 and 14,332,298.63

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Solution

The third proportional to 6,616,543.22 and 14,332,298.63 is: 31,045,634.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616,543.22 : 14,332,298.63 = 14,332,298.63 : x
  2. Step 2: Convert to fraction form
    6,616,543.22/14,332,298.63 = 14,332,298.63/x
  3. Step 3: Cross multiply
    6,616,543.22x = 14,332,298.63 × 14,332,298.63
  4. Step 4: Simplify right side
    6,616,543.22x = 205,414,783,876,176.88
  5. Step 5: Solve for x
    x = 205,414,783,876,176.88/6,616,543.22
  6. Step 6: Final answer
    x = 31,045,634.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.