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Finding the Third Proportional to 716,028,051 and 1,069,632,568.50

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Solution

The third proportional to 716,028,051 and 1,069,632,568.50 is: 1,597,861,745.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,028,051 : 1,069,632,568.50 = 1,069,632,568.50 : x
  2. Step 2: Convert to fraction form
    716,028,051/1,069,632,568.50 = 1,069,632,568.50/x
  3. Step 3: Cross multiply
    716,028,051x = 1,069,632,568.50 × 1,069,632,568.50
  4. Step 4: Simplify right side
    716,028,051x = 1,144,113,831,595,907,200
  5. Step 5: Solve for x
    x = 1,144,113,831,595,907,200/716,028,051
  6. Step 6: Final answer
    x = 1,597,861,745.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.