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Finding the Third Proportional to 2,541,607.50 and 5,496,196.50

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Solution

The third proportional to 2,541,607.50 and 5,496,196.50 is: 11,885,460.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541,607.50 : 5,496,196.50 = 5,496,196.50 : x
  2. Step 2: Convert to fraction form
    2,541,607.50/5,496,196.50 = 5,496,196.50/x
  3. Step 3: Cross multiply
    2,541,607.50x = 5,496,196.50 × 5,496,196.50
  4. Step 4: Simplify right side
    2,541,607.50x = 30,208,175,966,612.25
  5. Step 5: Solve for x
    x = 30,208,175,966,612.25/2,541,607.50
  6. Step 6: Final answer
    x = 11,885,460.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.