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Finding the Third Proportional to 64,676,086,811 and 140,740,831,281

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Solution

The third proportional to 64,676,086,811 and 140,740,831,281 is: 306,264,379,407.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,676,086,811 : 140,740,831,281 = 140,740,831,281 : x
  2. Step 2: Convert to fraction form
    64,676,086,811/140,740,831,281 = 140,740,831,281/x
  3. Step 3: Cross multiply
    64,676,086,811x = 140,740,831,281 × 140,740,831,281
  4. Step 4: Simplify right side
    64,676,086,811x = 19,807,981,589,666,906,243,072
  5. Step 5: Solve for x
    x = 19,807,981,589,666,906,243,072/64,676,086,811
  6. Step 6: Final answer
    x = 306,264,379,407.35

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