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Finding the Third Proportional to 2,596,433.06 and 6,010,271.44

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Solution

The third proportional to 2,596,433.06 and 6,010,271.44 is: 13,912,687.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596,433.06 : 6,010,271.44 = 6,010,271.44 : x
  2. Step 2: Convert to fraction form
    2,596,433.06/6,010,271.44 = 6,010,271.44/x
  3. Step 3: Cross multiply
    2,596,433.06x = 6,010,271.44 × 6,010,271.44
  4. Step 4: Simplify right side
    2,596,433.06x = 36,123,362,752,428.31
  5. Step 5: Solve for x
    x = 36,123,362,752,428.31/2,596,433.06
  6. Step 6: Final answer
    x = 13,912,687.86

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.