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Finding the Third Proportional to 724,368,996 and 1,571,235,012

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Solution

The third proportional to 724,368,996 and 1,571,235,012 is: 3,408,179,362.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,368,996 : 1,571,235,012 = 1,571,235,012 : x
  2. Step 2: Convert to fraction form
    724,368,996/1,571,235,012 = 1,571,235,012/x
  3. Step 3: Cross multiply
    724,368,996x = 1,571,235,012 × 1,571,235,012
  4. Step 4: Simplify right side
    724,368,996x = 2,468,779,462,934,640,128
  5. Step 5: Solve for x
    x = 2,468,779,462,934,640,128/724,368,996
  6. Step 6: Final answer
    x = 3,408,179,362.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.