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Finding the Third Proportional to 678,640,570,938 and 1,476,430,170,011

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Solution

The third proportional to 678,640,570,938 and 1,476,430,170,011 is: 3,212,077,409,262.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,640,570,938 : 1,476,430,170,011 = 1,476,430,170,011 : x
  2. Step 2: Convert to fraction form
    678,640,570,938/1,476,430,170,011 = 1,476,430,170,011/x
  3. Step 3: Cross multiply
    678,640,570,938x = 1,476,430,170,011 × 1,476,430,170,011
  4. Step 4: Simplify right side
    678,640,570,938x = 2,179,846,046,918,710,348,742,656
  5. Step 5: Solve for x
    x = 2,179,846,046,918,710,348,742,656/678,640,570,938
  6. Step 6: Final answer
    x = 3,212,077,409,262.14

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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.