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Finding the Third Proportional to 2,266,064,654.66 and 4,876,503,077.32

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Solution

The third proportional to 2,266,064,654.66 and 4,876,503,077.32 is: 10,494,088,160.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266,064,654.66 : 4,876,503,077.32 = 4,876,503,077.32 : x
  2. Step 2: Convert to fraction form
    2,266,064,654.66/4,876,503,077.32 = 4,876,503,077.32/x
  3. Step 3: Cross multiply
    2,266,064,654.66x = 4,876,503,077.32 × 4,876,503,077.32
  4. Step 4: Simplify right side
    2,266,064,654.66x = 23,780,282,263,109,484,544
  5. Step 5: Solve for x
    x = 23,780,282,263,109,484,544/2,266,064,654.66
  6. Step 6: Final answer
    x = 10,494,088,160.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.