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Finding the Third Proportional to 6,989,635,916 and 15,016,644,421

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Solution

The third proportional to 6,989,635,916 and 15,016,644,421 is: 32,261,996,529.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989,635,916 : 15,016,644,421 = 15,016,644,421 : x
  2. Step 2: Convert to fraction form
    6,989,635,916/15,016,644,421 = 15,016,644,421/x
  3. Step 3: Cross multiply
    6,989,635,916x = 15,016,644,421 × 15,016,644,421
  4. Step 4: Simplify right side
    6,989,635,916x = 225,499,609,666,750,414,848
  5. Step 5: Solve for x
    x = 225,499,609,666,750,414,848/6,989,635,916
  6. Step 6: Final answer
    x = 32,261,996,529.83

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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.