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Finding the Third Proportional to 7,411,890,333 and 11,291,509,731

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Solution

The third proportional to 7,411,890,333 and 11,291,509,731 is: 17,201,845,450.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411,890,333 : 11,291,509,731 = 11,291,509,731 : x
  2. Step 2: Convert to fraction form
    7,411,890,333/11,291,509,731 = 11,291,509,731/x
  3. Step 3: Cross multiply
    7,411,890,333x = 11,291,509,731 × 11,291,509,731
  4. Step 4: Simplify right side
    7,411,890,333x = 127,498,192,005,267,685,376
  5. Step 5: Solve for x
    x = 127,498,192,005,267,685,376/7,411,890,333
  6. Step 6: Final answer
    x = 17,201,845,450.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.