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Finding the Third Proportional to 20,082,213,434 and 43,780,355,284

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Solution

The third proportional to 20,082,213,434 and 43,780,355,284 is: 95,443,637,978.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,082,213,434 : 43,780,355,284 = 43,780,355,284 : x
  2. Step 2: Convert to fraction form
    20,082,213,434/43,780,355,284 = 43,780,355,284/x
  3. Step 3: Cross multiply
    20,082,213,434x = 43,780,355,284 × 43,780,355,284
  4. Step 4: Simplify right side
    20,082,213,434x = 1,916,719,508,793,266,798,592
  5. Step 5: Solve for x
    x = 1,916,719,508,793,266,798,592/20,082,213,434
  6. Step 6: Final answer
    x = 95,443,637,978.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.