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Finding the Third Proportional to 678,640,570,935 and 1,476,430,170,006

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Solution

The third proportional to 678,640,570,935 and 1,476,430,170,006 is: 3,212,077,409,254.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,640,570,935 : 1,476,430,170,006 = 1,476,430,170,006 : x
  2. Step 2: Convert to fraction form
    678,640,570,935/1,476,430,170,006 = 1,476,430,170,006/x
  3. Step 3: Cross multiply
    678,640,570,935x = 1,476,430,170,006 × 1,476,430,170,006
  4. Step 4: Simplify right side
    678,640,570,935x = 2,179,846,046,903,946,130,227,200
  5. Step 5: Solve for x
    x = 2,179,846,046,903,946,130,227,200/678,640,570,935
  6. Step 6: Final answer
    x = 3,212,077,409,254.58

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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.