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Finding the Third Proportional to 6,423,077.25 and 14,123,696.63

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Solution

The third proportional to 6,423,077.25 and 14,123,696.63 is: 31,056,579.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423,077.25 : 14,123,696.63 = 14,123,696.63 : x
  2. Step 2: Convert to fraction form
    6,423,077.25/14,123,696.63 = 14,123,696.63/x
  3. Step 3: Cross multiply
    6,423,077.25x = 14,123,696.63 × 14,123,696.63
  4. Step 4: Simplify right side
    6,423,077.25x = 199,478,806,355,036.38
  5. Step 5: Solve for x
    x = 199,478,806,355,036.38/6,423,077.25
  6. Step 6: Final answer
    x = 31,056,579.05

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.