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Finding the Third Proportional to 5,757,500,414 and 8,845,763,121

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Solution

The third proportional to 5,757,500,414 and 8,845,763,121 is: 13,590,537,484.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757,500,414 : 8,845,763,121 = 8,845,763,121 : x
  2. Step 2: Convert to fraction form
    5,757,500,414/8,845,763,121 = 8,845,763,121/x
  3. Step 3: Cross multiply
    5,757,500,414x = 8,845,763,121 × 8,845,763,121
  4. Step 4: Simplify right side
    5,757,500,414x = 78,247,525,192,843,657,216
  5. Step 5: Solve for x
    x = 78,247,525,192,843,657,216/5,757,500,414
  6. Step 6: Final answer
    x = 13,590,537,484.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.