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Finding the Third Proportional to 976,398,844 and 1,473,678,232

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Solution

The third proportional to 976,398,844 and 1,473,678,232 is: 2,224,221,735.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,398,844 : 1,473,678,232 = 1,473,678,232 : x
  2. Step 2: Convert to fraction form
    976,398,844/1,473,678,232 = 1,473,678,232/x
  3. Step 3: Cross multiply
    976,398,844x = 1,473,678,232 × 1,473,678,232
  4. Step 4: Simplify right side
    976,398,844x = 2,171,727,531,470,645,760
  5. Step 5: Solve for x
    x = 2,171,727,531,470,645,760/976,398,844
  6. Step 6: Final answer
    x = 2,224,221,735.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.