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Finding the Third Proportional to 959,326,536,982 and 2,133,144,795,324

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Solution

The third proportional to 959,326,536,982 and 2,133,144,795,324 is: 4,743,230,320,859.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,326,536,982 : 2,133,144,795,324 = 2,133,144,795,324 : x
  2. Step 2: Convert to fraction form
    959,326,536,982/2,133,144,795,324 = 2,133,144,795,324/x
  3. Step 3: Cross multiply
    959,326,536,982x = 2,133,144,795,324 × 2,133,144,795,324
  4. Step 4: Simplify right side
    959,326,536,982x = 4,550,306,717,817,869,596,360,704
  5. Step 5: Solve for x
    x = 4,550,306,717,817,869,596,360,704/959,326,536,982
  6. Step 6: Final answer
    x = 4,743,230,320,859.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.