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Finding the Third Proportional to 6,261,916,932 and 13,420,208,358

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Solution

The third proportional to 6,261,916,932 and 13,420,208,358 is: 28,761,479,005.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,261,916,932 : 13,420,208,358 = 13,420,208,358 : x
  2. Step 2: Convert to fraction form
    6,261,916,932/13,420,208,358 = 13,420,208,358/x
  3. Step 3: Cross multiply
    6,261,916,932x = 13,420,208,358 × 13,420,208,358
  4. Step 4: Simplify right side
    6,261,916,932x = 180,101,992,372,133,068,800
  5. Step 5: Solve for x
    x = 180,101,992,372,133,068,800/6,261,916,932
  6. Step 6: Final answer
    x = 28,761,479,005.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.