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Finding the Third Proportional to 16,390,645,142 and 35,267,233,420

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Solution

The third proportional to 16,390,645,142 and 35,267,233,420 is: 75,883,392,162.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,390,645,142 : 35,267,233,420 = 35,267,233,420 : x
  2. Step 2: Convert to fraction form
    16,390,645,142/35,267,233,420 = 35,267,233,420/x
  3. Step 3: Cross multiply
    16,390,645,142x = 35,267,233,420 × 35,267,233,420
  4. Step 4: Simplify right side
    16,390,645,142x = 1,243,777,753,100,764,839,936
  5. Step 5: Solve for x
    x = 1,243,777,753,100,764,839,936/16,390,645,142
  6. Step 6: Final answer
    x = 75,883,392,162.13

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