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Finding the Third Proportional to 364,586,206 and 798,326,163

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Solution

The third proportional to 364,586,206 and 798,326,163 is: 1,748,076,729.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,586,206 : 798,326,163 = 798,326,163 : x
  2. Step 2: Convert to fraction form
    364,586,206/798,326,163 = 798,326,163/x
  3. Step 3: Cross multiply
    364,586,206x = 798,326,163 × 798,326,163
  4. Step 4: Simplify right side
    364,586,206x = 637,324,662,530,302,592
  5. Step 5: Solve for x
    x = 637,324,662,530,302,592/364,586,206
  6. Step 6: Final answer
    x = 1,748,076,729.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.