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Finding the Third Proportional to 894,904,311 and 2,109,538,303

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Solution

The third proportional to 894,904,311 and 2,109,538,303 is: 4,972,768,369.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,904,311 : 2,109,538,303 = 2,109,538,303 : x
  2. Step 2: Convert to fraction form
    894,904,311/2,109,538,303 = 2,109,538,303/x
  3. Step 3: Cross multiply
    894,904,311x = 2,109,538,303 × 2,109,538,303
  4. Step 4: Simplify right side
    894,904,311x = 4,450,151,851,824,119,808
  5. Step 5: Solve for x
    x = 4,450,151,851,824,119,808/894,904,311
  6. Step 6: Final answer
    x = 4,972,768,369.90

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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.