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Finding the Third Proportional to 10,087,203.38 and 20,892,164.20

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Solution

The third proportional to 10,087,203.38 and 20,892,164.20 is: 43,270,915.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,087,203.38 : 20,892,164.20 = 20,892,164.20 : x
  2. Step 2: Convert to fraction form
    10,087,203.38/20,892,164.20 = 20,892,164.20/x
  3. Step 3: Cross multiply
    10,087,203.38x = 20,892,164.20 × 20,892,164.20
  4. Step 4: Simplify right side
    10,087,203.38x = 436,482,525,090,337.69
  5. Step 5: Solve for x
    x = 436,482,525,090,337.69/10,087,203.38
  6. Step 6: Final answer
    x = 43,270,915.52

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.