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Finding the Third Proportional to 2,697,354 and 5,778,496.13

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Solution

The third proportional to 2,697,354 and 5,778,496.13 is: 12,379,175.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697,354 : 5,778,496.13 = 5,778,496.13 : x
  2. Step 2: Convert to fraction form
    2,697,354/5,778,496.13 = 5,778,496.13/x
  3. Step 3: Cross multiply
    2,697,354x = 5,778,496.13 × 5,778,496.13
  4. Step 4: Simplify right side
    2,697,354x = 33,391,017,466,640.02
  5. Step 5: Solve for x
    x = 33,391,017,466,640.02/2,697,354
  6. Step 6: Final answer
    x = 12,379,175.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.