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Finding the Third Proportional to 7,222,411,678 and 14,647,901,130

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Solution

The third proportional to 7,222,411,678 and 14,647,901,130 is: 29,707,667,892.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222,411,678 : 14,647,901,130 = 14,647,901,130 : x
  2. Step 2: Convert to fraction form
    7,222,411,678/14,647,901,130 = 14,647,901,130/x
  3. Step 3: Cross multiply
    7,222,411,678x = 14,647,901,130 × 14,647,901,130
  4. Step 4: Simplify right side
    7,222,411,678x = 214,561,007,514,255,261,696
  5. Step 5: Solve for x
    x = 214,561,007,514,255,261,696/7,222,411,678
  6. Step 6: Final answer
    x = 29,707,667,892.68

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.