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Finding the Third Proportional to 2,537,109 and 5,323,323

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Solution

The third proportional to 2,537,109 and 5,323,323 is: 11,169,314.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537,109 : 5,323,323 = 5,323,323 : x
  2. Step 2: Convert to fraction form
    2,537,109/5,323,323 = 5,323,323/x
  3. Step 3: Cross multiply
    2,537,109x = 5,323,323 × 5,323,323
  4. Step 4: Simplify right side
    2,537,109x = 28,337,767,762,329
  5. Step 5: Solve for x
    x = 28,337,767,762,329/2,537,109
  6. Step 6: Final answer
    x = 11,169,314.27

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.