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Finding the Third Proportional to 16,407,309 and 35,766,906

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Solution

The third proportional to 16,407,309 and 35,766,906 is: 77,969,614.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,407,309 : 35,766,906 = 35,766,906 : x
  2. Step 2: Convert to fraction form
    16,407,309/35,766,906 = 35,766,906/x
  3. Step 3: Cross multiply
    16,407,309x = 35,766,906 × 35,766,906
  4. Step 4: Simplify right side
    16,407,309x = 1,279,271,564,812,836
  5. Step 5: Solve for x
    x = 1,279,271,564,812,836/16,407,309
  6. Step 6: Final answer
    x = 77,969,614.93

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.