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Finding the Third Proportional to 2,310,774.33 and 4,986,914.34

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Solution

The third proportional to 2,310,774.33 and 4,986,914.34 is: 10,762,329.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310,774.33 : 4,986,914.34 = 4,986,914.34 : x
  2. Step 2: Convert to fraction form
    2,310,774.33/4,986,914.34 = 4,986,914.34/x
  3. Step 3: Cross multiply
    2,310,774.33x = 4,986,914.34 × 4,986,914.34
  4. Step 4: Simplify right side
    2,310,774.33x = 24,869,314,671,899.49
  5. Step 5: Solve for x
    x = 24,869,314,671,899.49/2,310,774.33
  6. Step 6: Final answer
    x = 10,762,329.48

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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.