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Finding the Third Proportional to 6,828,246 and 14,715,108

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Solution

The third proportional to 6,828,246 and 14,715,108 is: 31,711,570.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828,246 : 14,715,108 = 14,715,108 : x
  2. Step 2: Convert to fraction form
    6,828,246/14,715,108 = 14,715,108/x
  3. Step 3: Cross multiply
    6,828,246x = 14,715,108 × 14,715,108
  4. Step 4: Simplify right side
    6,828,246x = 216,534,403,451,664
  5. Step 5: Solve for x
    x = 216,534,403,451,664/6,828,246
  6. Step 6: Final answer
    x = 31,711,570.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.