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Finding the Third Proportional to 7,222,411,749 and 14,647,901,271

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Solution

The third proportional to 7,222,411,749 and 14,647,901,271 is: 29,707,668,172.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222,411,749 : 14,647,901,271 = 14,647,901,271 : x
  2. Step 2: Convert to fraction form
    7,222,411,749/14,647,901,271 = 14,647,901,271/x
  3. Step 3: Cross multiply
    7,222,411,749x = 14,647,901,271 × 14,647,901,271
  4. Step 4: Simplify right side
    7,222,411,749x = 214,561,011,644,963,422,208
  5. Step 5: Solve for x
    x = 214,561,011,644,963,422,208/7,222,411,749
  6. Step 6: Final answer
    x = 29,707,668,172.57

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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.