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Finding the Third Proportional to 413,259,510 and 899,158,029

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Solution

The third proportional to 413,259,510 and 899,158,029 is: 1,956,361,902.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,259,510 : 899,158,029 = 899,158,029 : x
  2. Step 2: Convert to fraction form
    413,259,510/899,158,029 = 899,158,029/x
  3. Step 3: Cross multiply
    413,259,510x = 899,158,029 × 899,158,029
  4. Step 4: Simplify right side
    413,259,510x = 808,485,161,115,164,800
  5. Step 5: Solve for x
    x = 808,485,161,115,164,800/413,259,510
  6. Step 6: Final answer
    x = 1,956,361,902.27

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Why These Related Problems?

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