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Finding the Third Proportional to 393,635,621 and 845,687,829.50

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Solution

The third proportional to 393,635,621 and 845,687,829.50 is: 1,816,878,013.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,635,621 : 845,687,829.50 = 845,687,829.50 : x
  2. Step 2: Convert to fraction form
    393,635,621/845,687,829.50 = 845,687,829.50/x
  3. Step 3: Cross multiply
    393,635,621x = 845,687,829.50 × 845,687,829.50
  4. Step 4: Simplify right side
    393,635,621x = 715,187,904,964,421,120
  5. Step 5: Solve for x
    x = 715,187,904,964,421,120/393,635,621
  6. Step 6: Final answer
    x = 1,816,878,013.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.