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Finding the Third Proportional to 2,569,019.63 and 5,595,726.38

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Solution

The third proportional to 2,569,019.63 and 5,595,726.38 is: 12,188,366.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569,019.63 : 5,595,726.38 = 5,595,726.38 : x
  2. Step 2: Convert to fraction form
    2,569,019.63/5,595,726.38 = 5,595,726.38/x
  3. Step 3: Cross multiply
    2,569,019.63x = 5,595,726.38 × 5,595,726.38
  4. Step 4: Simplify right side
    2,569,019.63x = 31,312,153,663,870.64
  5. Step 5: Solve for x
    x = 31,312,153,663,870.64/2,569,019.63
  6. Step 6: Final answer
    x = 12,188,366.86

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Why These Related Problems?

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