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Finding the Third Proportional to 19,659,333,176 and 43,325,864,656

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Solution

The third proportional to 19,659,333,176 and 43,325,864,656 is: 95,482,920,574.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,659,333,176 : 43,325,864,656 = 43,325,864,656 : x
  2. Step 2: Convert to fraction form
    19,659,333,176/43,325,864,656 = 43,325,864,656/x
  3. Step 3: Cross multiply
    19,659,333,176x = 43,325,864,656 × 43,325,864,656
  4. Step 4: Simplify right side
    19,659,333,176x = 1,877,130,548,190,030,069,760
  5. Step 5: Solve for x
    x = 1,877,130,548,190,030,069,760/19,659,333,176
  6. Step 6: Final answer
    x = 95,482,920,574.42

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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.