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Finding the Third Proportional to 894,904,308 and 2,109,538,296

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Solution

The third proportional to 894,904,308 and 2,109,538,296 is: 4,972,768,353.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,904,308 : 2,109,538,296 = 2,109,538,296 : x
  2. Step 2: Convert to fraction form
    894,904,308/2,109,538,296 = 2,109,538,296/x
  3. Step 3: Cross multiply
    894,904,308x = 2,109,538,296 × 2,109,538,296
  4. Step 4: Simplify right side
    894,904,308x = 4,450,151,822,290,583,552
  5. Step 5: Solve for x
    x = 4,450,151,822,290,583,552/894,904,308
  6. Step 6: Final answer
    x = 4,972,768,353.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.