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Finding the Third Proportional to 6,989,635,914 and 15,016,644,417

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Solution

The third proportional to 6,989,635,914 and 15,016,644,417 is: 32,261,996,521.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989,635,914 : 15,016,644,417 = 15,016,644,417 : x
  2. Step 2: Convert to fraction form
    6,989,635,914/15,016,644,417 = 15,016,644,417/x
  3. Step 3: Cross multiply
    6,989,635,914x = 15,016,644,417 × 15,016,644,417
  4. Step 4: Simplify right side
    6,989,635,914x = 225,499,609,546,617,257,984
  5. Step 5: Solve for x
    x = 225,499,609,546,617,257,984/6,989,635,914
  6. Step 6: Final answer
    x = 32,261,996,521.87

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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.