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Finding the Third Proportional to 6,701,476.13 and 14,631,909.75

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Solution

The third proportional to 6,701,476.13 and 14,631,909.75 is: 31,947,108.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701,476.13 : 14,631,909.75 = 14,631,909.75 : x
  2. Step 2: Convert to fraction form
    6,701,476.13/14,631,909.75 = 14,631,909.75/x
  3. Step 3: Cross multiply
    6,701,476.13x = 14,631,909.75 × 14,631,909.75
  4. Step 4: Simplify right side
    6,701,476.13x = 214,092,782,932,145.06
  5. Step 5: Solve for x
    x = 214,092,782,932,145.06/6,701,476.13
  6. Step 6: Final answer
    x = 31,947,108.21

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