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Finding the Third Proportional to 2,537,264.25 and 4,165,293.38

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Solution

The third proportional to 2,537,264.25 and 4,165,293.38 is: 6,837,943.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537,264.25 : 4,165,293.38 = 4,165,293.38 : x
  2. Step 2: Convert to fraction form
    2,537,264.25/4,165,293.38 = 4,165,293.38/x
  3. Step 3: Cross multiply
    2,537,264.25x = 4,165,293.38 × 4,165,293.38
  4. Step 4: Simplify right side
    2,537,264.25x = 17,349,668,899,818.89
  5. Step 5: Solve for x
    x = 17,349,668,899,818.89/2,537,264.25
  6. Step 6: Final answer
    x = 6,837,943.23

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.