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Finding the Third Proportional to 259,161,780,864 and 403,894,673,712

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Solution

The third proportional to 259,161,780,864 and 403,894,673,712 is: 629,455,882,380.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,161,780,864 : 403,894,673,712 = 403,894,673,712 : x
  2. Step 2: Convert to fraction form
    259,161,780,864/403,894,673,712 = 403,894,673,712/x
  3. Step 3: Cross multiply
    259,161,780,864x = 403,894,673,712 × 403,894,673,712
  4. Step 4: Simplify right side
    259,161,780,864x = 163,130,907,452,922,958,708,736
  5. Step 5: Solve for x
    x = 163,130,907,452,922,958,708,736/259,161,780,864
  6. Step 6: Final answer
    x = 629,455,882,380.01

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.