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Finding the Third Proportional to 894,904,310 and 2,109,538,301

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Solution

The third proportional to 894,904,310 and 2,109,538,301 is: 4,972,768,366.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,904,310 : 2,109,538,301 = 2,109,538,301 : x
  2. Step 2: Convert to fraction form
    894,904,310/2,109,538,301 = 2,109,538,301/x
  3. Step 3: Cross multiply
    894,904,310x = 2,109,538,301 × 2,109,538,301
  4. Step 4: Simplify right side
    894,904,310x = 4,450,151,843,385,966,592
  5. Step 5: Solve for x
    x = 4,450,151,843,385,966,592/894,904,310
  6. Step 6: Final answer
    x = 4,972,768,366.02

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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.