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Finding the Third Proportional to 368,418,072.94 and 798,997,631.63

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Solution

The third proportional to 368,418,072.94 and 798,997,631.63 is: 1,732,806,456.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,418,072.94 : 798,997,631.63 = 798,997,631.63 : x
  2. Step 2: Convert to fraction form
    368,418,072.94/798,997,631.63 = 798,997,631.63/x
  3. Step 3: Cross multiply
    368,418,072.94x = 798,997,631.63 × 798,997,631.63
  4. Step 4: Simplify right side
    368,418,072.94x = 638,397,215,342,359,168
  5. Step 5: Solve for x
    x = 638,397,215,342,359,168/368,418,072.94
  6. Step 6: Final answer
    x = 1,732,806,456.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.