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Finding the Third Proportional to 3,364,976,523 and 7,789,311,364.50

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Solution

The third proportional to 3,364,976,523 and 7,789,311,364.50 is: 18,030,845,421.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364,976,523 : 7,789,311,364.50 = 7,789,311,364.50 : x
  2. Step 2: Convert to fraction form
    3,364,976,523/7,789,311,364.50 = 7,789,311,364.50/x
  3. Step 3: Cross multiply
    3,364,976,523x = 7,789,311,364.50 × 7,789,311,364.50
  4. Step 4: Simplify right side
    3,364,976,523x = 60,673,371,533,128,851,456
  5. Step 5: Solve for x
    x = 60,673,371,533,128,851,456/3,364,976,523
  6. Step 6: Final answer
    x = 18,030,845,421.48

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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.