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Finding the Third Proportional to 6,902,225,168 and 15,095,856,016

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Solution

The third proportional to 6,902,225,168 and 15,095,856,016 is: 33,016,145,273.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902,225,168 : 15,095,856,016 = 15,095,856,016 : x
  2. Step 2: Convert to fraction form
    6,902,225,168/15,095,856,016 = 15,095,856,016/x
  3. Step 3: Cross multiply
    6,902,225,168x = 15,095,856,016 × 15,095,856,016
  4. Step 4: Simplify right side
    6,902,225,168x = 227,884,868,855,803,379,712
  5. Step 5: Solve for x
    x = 227,884,868,855,803,379,712/6,902,225,168
  6. Step 6: Final answer
    x = 33,016,145,273.31

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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.