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Finding the Third Proportional to 2,389,518,057 and 3,740,172,093

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Solution

The third proportional to 2,389,518,057 and 3,740,172,093 is: 5,854,271,426.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389,518,057 : 3,740,172,093 = 3,740,172,093 : x
  2. Step 2: Convert to fraction form
    2,389,518,057/3,740,172,093 = 3,740,172,093/x
  3. Step 3: Cross multiply
    2,389,518,057x = 3,740,172,093 × 3,740,172,093
  4. Step 4: Simplify right side
    2,389,518,057x = 13,988,887,285,256,001,536
  5. Step 5: Solve for x
    x = 13,988,887,285,256,001,536/2,389,518,057
  6. Step 6: Final answer
    x = 5,854,271,426.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.