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Finding the Third Proportional to 1,791,512,572 and 3,927,398,912

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Solution

The third proportional to 1,791,512,572 and 3,927,398,912 is: 8,609,742,658.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791,512,572 : 3,927,398,912 = 3,927,398,912 : x
  2. Step 2: Convert to fraction form
    1,791,512,572/3,927,398,912 = 3,927,398,912/x
  3. Step 3: Cross multiply
    1,791,512,572x = 3,927,398,912 × 3,927,398,912
  4. Step 4: Simplify right side
    1,791,512,572x = 15,424,462,213,978,783,744
  5. Step 5: Solve for x
    x = 15,424,462,213,978,783,744/1,791,512,572
  6. Step 6: Final answer
    x = 8,609,742,658.27

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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.