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Finding the Third Proportional to 1,642,571,154 and 3,421,016,244

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Solution

The third proportional to 1,642,571,154 and 3,421,016,244 is: 7,125,019,889.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642,571,154 : 3,421,016,244 = 3,421,016,244 : x
  2. Step 2: Convert to fraction form
    1,642,571,154/3,421,016,244 = 3,421,016,244/x
  3. Step 3: Cross multiply
    1,642,571,154x = 3,421,016,244 × 3,421,016,244
  4. Step 4: Simplify right side
    1,642,571,154x = 11,703,352,141,711,867,904
  5. Step 5: Solve for x
    x = 11,703,352,141,711,867,904/1,642,571,154
  6. Step 6: Final answer
    x = 7,125,019,889.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.