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Finding the Third Proportional to 5,596,943 and 11,866,491

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Solution

The third proportional to 5,596,943 and 11,866,491 is: 25,159,021.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,596,943 : 11,866,491 = 11,866,491 : x
  2. Step 2: Convert to fraction form
    5,596,943/11,866,491 = 11,866,491/x
  3. Step 3: Cross multiply
    5,596,943x = 11,866,491 × 11,866,491
  4. Step 4: Simplify right side
    5,596,943x = 140,813,608,653,081
  5. Step 5: Solve for x
    x = 140,813,608,653,081/5,596,943
  6. Step 6: Final answer
    x = 25,159,021.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.