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Finding the Third Proportional to 14,576,835.94 and 31,891,208.63

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Solution

The third proportional to 14,576,835.94 and 31,891,208.63 is: 69,771,601.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,576,835.94 : 31,891,208.63 = 31,891,208.63 : x
  2. Step 2: Convert to fraction form
    14,576,835.94/31,891,208.63 = 31,891,208.63/x
  3. Step 3: Cross multiply
    14,576,835.94x = 31,891,208.63 × 31,891,208.63
  4. Step 4: Simplify right side
    14,576,835.94x = 1,017,049,187,563,274.38
  5. Step 5: Solve for x
    x = 1,017,049,187,563,274.38/14,576,835.94
  6. Step 6: Final answer
    x = 69,771,601.46

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.