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Finding the Third Proportional to 2,116,644.19 and 4,644,376.03

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Solution

The third proportional to 2,116,644.19 and 4,644,376.03 is: 10,190,767.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116,644.19 : 4,644,376.03 = 4,644,376.03 : x
  2. Step 2: Convert to fraction form
    2,116,644.19/4,644,376.03 = 4,644,376.03/x
  3. Step 3: Cross multiply
    2,116,644.19x = 4,644,376.03 × 4,644,376.03
  4. Step 4: Simplify right side
    2,116,644.19x = 21,570,228,719,649.50
  5. Step 5: Solve for x
    x = 21,570,228,719,649.50/2,116,644.19
  6. Step 6: Final answer
    x = 10,190,767.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.