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Finding the Third Proportional to 4,876,365,584 and 10,684,347,968

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Solution

The third proportional to 4,876,365,584 and 10,684,347,968 is: 23,409,912,471.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,876,365,584 : 10,684,347,968 = 10,684,347,968 : x
  2. Step 2: Convert to fraction form
    4,876,365,584/10,684,347,968 = 10,684,347,968/x
  3. Step 3: Cross multiply
    4,876,365,584x = 10,684,347,968 × 10,684,347,968
  4. Step 4: Simplify right side
    4,876,365,584x = 114,155,291,501,305,724,928
  5. Step 5: Solve for x
    x = 114,155,291,501,305,724,928/4,876,365,584
  6. Step 6: Final answer
    x = 23,409,912,471.67

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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.