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Finding the Third Proportional to 42,971,304,980 and 92,472,958,912

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Solution

The third proportional to 42,971,304,980 and 92,472,958,912 is: 198,999,032,817.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,971,304,980 : 92,472,958,912 = 92,472,958,912 : x
  2. Step 2: Convert to fraction form
    42,971,304,980/92,472,958,912 = 92,472,958,912/x
  3. Step 3: Cross multiply
    42,971,304,980x = 92,472,958,912 × 92,472,958,912
  4. Step 4: Simplify right side
    42,971,304,980x = 8,551,248,129,940,440,219,648
  5. Step 5: Solve for x
    x = 8,551,248,129,940,440,219,648/42,971,304,980
  6. Step 6: Final answer
    x = 198,999,032,817.84

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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.