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Finding the Third Proportional to 6,767,830.97 and 14,614,490.81

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Solution

The third proportional to 6,767,830.97 and 14,614,490.81 is: 31,558,610.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767,830.97 : 14,614,490.81 = 14,614,490.81 : x
  2. Step 2: Convert to fraction form
    6,767,830.97/14,614,490.81 = 14,614,490.81/x
  3. Step 3: Cross multiply
    6,767,830.97x = 14,614,490.81 × 14,614,490.81
  4. Step 4: Simplify right side
    6,767,830.97x = 213,583,341,708,646.91
  5. Step 5: Solve for x
    x = 213,583,341,708,646.91/6,767,830.97
  6. Step 6: Final answer
    x = 31,558,610.53

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