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Finding the Third Proportional to 445,663,209,646.12 and 978,878,236,953.38

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Solution

The third proportional to 445,663,209,646.12 and 978,878,236,953.38 is: 2,150,059,915,293.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,663,209,646.12 : 978,878,236,953.38 = 978,878,236,953.38 : x
  2. Step 2: Convert to fraction form
    445,663,209,646.12/978,878,236,953.38 = 978,878,236,953.38/x
  3. Step 3: Cross multiply
    445,663,209,646.12x = 978,878,236,953.38 × 978,878,236,953.38
  4. Step 4: Simplify right side
    445,663,209,646.12x = 958,202,602,780,957,620,568,064
  5. Step 5: Solve for x
    x = 958,202,602,780,957,620,568,064/445,663,209,646.12
  6. Step 6: Final answer
    x = 2,150,059,915,293.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.