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Finding the Third Proportional to 259,161,780,870 and 403,894,673,721

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Solution

The third proportional to 259,161,780,870 and 403,894,673,721 is: 629,455,882,393.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,161,780,870 : 403,894,673,721 = 403,894,673,721 : x
  2. Step 2: Convert to fraction form
    259,161,780,870/403,894,673,721 = 403,894,673,721/x
  3. Step 3: Cross multiply
    259,161,780,870x = 403,894,673,721 × 403,894,673,721
  4. Step 4: Simplify right side
    259,161,780,870x = 163,130,907,460,193,063,272,448
  5. Step 5: Solve for x
    x = 163,130,907,460,193,063,272,448/259,161,780,870
  6. Step 6: Final answer
    x = 629,455,882,393.49

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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.