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Finding the Third Proportional to 3,364,976,525 and 7,789,311,369

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Solution

The third proportional to 3,364,976,525 and 7,789,311,369 is: 18,030,845,431.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364,976,525 : 7,789,311,369 = 7,789,311,369 : x
  2. Step 2: Convert to fraction form
    3,364,976,525/7,789,311,369 = 7,789,311,369/x
  3. Step 3: Cross multiply
    3,364,976,525x = 7,789,311,369 × 7,789,311,369
  4. Step 4: Simplify right side
    3,364,976,525x = 60,673,371,603,232,653,312
  5. Step 5: Solve for x
    x = 60,673,371,603,232,653,312/3,364,976,525
  6. Step 6: Final answer
    x = 18,030,845,431.60

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.