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Finding the Third Proportional to 30,644,685,280 and 43,135,664,906

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Solution

The third proportional to 30,644,685,280 and 43,135,664,906 is: 60,718,051,756.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,644,685,280 : 43,135,664,906 = 43,135,664,906 : x
  2. Step 2: Convert to fraction form
    30,644,685,280/43,135,664,906 = 43,135,664,906/x
  3. Step 3: Cross multiply
    30,644,685,280x = 43,135,664,906 × 43,135,664,906
  4. Step 4: Simplify right side
    30,644,685,280x = 1,860,685,586,882,719,907,840
  5. Step 5: Solve for x
    x = 1,860,685,586,882,719,907,840/30,644,685,280
  6. Step 6: Final answer
    x = 60,718,051,756.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.