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Finding the Third Proportional to 19,589,597,370 and 40,001,432,382

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Solution

The third proportional to 19,589,597,370 and 40,001,432,382 is: 81,681,851,974.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,589,597,370 : 40,001,432,382 = 40,001,432,382 : x
  2. Step 2: Convert to fraction form
    19,589,597,370/40,001,432,382 = 40,001,432,382/x
  3. Step 3: Cross multiply
    19,589,597,370x = 40,001,432,382 × 40,001,432,382
  4. Step 4: Simplify right side
    19,589,597,370x = 1,600,114,592,611,718,135,808
  5. Step 5: Solve for x
    x = 1,600,114,592,611,718,135,808/19,589,597,370
  6. Step 6: Final answer
    x = 81,681,851,974.26

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.