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Finding the Third Proportional to 14,397,876,714 and 22,438,592,983

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Solution

The third proportional to 14,397,876,714 and 22,438,592,983 is: 34,969,771,241.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,397,876,714 : 22,438,592,983 = 22,438,592,983 : x
  2. Step 2: Convert to fraction form
    14,397,876,714/22,438,592,983 = 22,438,592,983/x
  3. Step 3: Cross multiply
    14,397,876,714x = 22,438,592,983 × 22,438,592,983
  4. Step 4: Simplify right side
    14,397,876,714x = 503,490,455,056,736,845,824
  5. Step 5: Solve for x
    x = 503,490,455,056,736,845,824/14,397,876,714
  6. Step 6: Final answer
    x = 34,969,771,241.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.