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Finding the Third Proportional to 18,877,287,638 and 40,896,590,432

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Solution

The third proportional to 18,877,287,638 and 40,896,590,432 is: 88,600,181,394.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,877,287,638 : 40,896,590,432 = 40,896,590,432 : x
  2. Step 2: Convert to fraction form
    18,877,287,638/40,896,590,432 = 40,896,590,432/x
  3. Step 3: Cross multiply
    18,877,287,638x = 40,896,590,432 × 40,896,590,432
  4. Step 4: Simplify right side
    18,877,287,638x = 1,672,531,108,962,753,839,104
  5. Step 5: Solve for x
    x = 1,672,531,108,962,753,839,104/18,877,287,638
  6. Step 6: Final answer
    x = 88,600,181,394.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.