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Finding the Third Proportional to 3,148,405,968 and 6,889,902,576

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Solution

The third proportional to 3,148,405,968 and 6,889,902,576 is: 15,077,711,702.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148,405,968 : 6,889,902,576 = 6,889,902,576 : x
  2. Step 2: Convert to fraction form
    3,148,405,968/6,889,902,576 = 6,889,902,576/x
  3. Step 3: Cross multiply
    3,148,405,968x = 6,889,902,576 × 6,889,902,576
  4. Step 4: Simplify right side
    3,148,405,968x = 47,470,757,506,771,435,520
  5. Step 5: Solve for x
    x = 47,470,757,506,771,435,520/3,148,405,968
  6. Step 6: Final answer
    x = 15,077,711,702.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.