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Finding the Third Proportional to 42,971,304,982 and 92,472,958,916

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Solution

The third proportional to 42,971,304,982 and 92,472,958,916 is: 198,999,032,825.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,971,304,982 : 92,472,958,916 = 92,472,958,916 : x
  2. Step 2: Convert to fraction form
    42,971,304,982/92,472,958,916 = 92,472,958,916/x
  3. Step 3: Cross multiply
    42,971,304,982x = 92,472,958,916 × 92,472,958,916
  4. Step 4: Simplify right side
    42,971,304,982x = 8,551,248,130,680,224,219,136
  5. Step 5: Solve for x
    x = 8,551,248,130,680,224,219,136/42,971,304,982
  6. Step 6: Final answer
    x = 198,999,032,825.79

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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.