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Finding the Third Proportional to 6,838,234,380 and 10,217,097,234

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Solution

The third proportional to 6,838,234,380 and 10,217,097,234 is: 15,265,501,310.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838,234,380 : 10,217,097,234 = 10,217,097,234 : x
  2. Step 2: Convert to fraction form
    6,838,234,380/10,217,097,234 = 10,217,097,234/x
  3. Step 3: Cross multiply
    6,838,234,380x = 10,217,097,234 × 10,217,097,234
  4. Step 4: Simplify right side
    6,838,234,380x = 104,389,075,889,010,458,624
  5. Step 5: Solve for x
    x = 104,389,075,889,010,458,624/6,838,234,380
  6. Step 6: Final answer
    x = 15,265,501,310.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.