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Finding the Third Proportional to 6,354,138,339 and 13,852,379,079

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Solution

The third proportional to 6,354,138,339 and 13,852,379,079 is: 30,198,965,762.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354,138,339 : 13,852,379,079 = 13,852,379,079 : x
  2. Step 2: Convert to fraction form
    6,354,138,339/13,852,379,079 = 13,852,379,079/x
  3. Step 3: Cross multiply
    6,354,138,339x = 13,852,379,079 × 13,852,379,079
  4. Step 4: Simplify right side
    6,354,138,339x = 191,888,406,148,316,889,088
  5. Step 5: Solve for x
    x = 191,888,406,148,316,889,088/6,354,138,339
  6. Step 6: Final answer
    x = 30,198,965,762.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.