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Finding the Third Proportional to 64,625,046,929 and 141,424,036,094

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Solution

The third proportional to 64,625,046,929 and 141,424,036,094 is: 309,489,260,519.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,625,046,929 : 141,424,036,094 = 141,424,036,094 : x
  2. Step 2: Convert to fraction form
    64,625,046,929/141,424,036,094 = 141,424,036,094/x
  3. Step 3: Cross multiply
    64,625,046,929x = 141,424,036,094 × 141,424,036,094
  4. Step 4: Simplify right side
    64,625,046,929x = 20,000,757,985,117,015,638,016
  5. Step 5: Solve for x
    x = 20,000,757,985,117,015,638,016/64,625,046,929
  6. Step 6: Final answer
    x = 309,489,260,519.85

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.