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Finding the Third Proportional to 716,028,048 and 1,069,632,564.75

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Solution

The third proportional to 716,028,048 and 1,069,632,564.75 is: 1,597,861,741.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,028,048 : 1,069,632,564.75 = 1,069,632,564.75 : x
  2. Step 2: Convert to fraction form
    716,028,048/1,069,632,564.75 = 1,069,632,564.75/x
  3. Step 3: Cross multiply
    716,028,048x = 1,069,632,564.75 × 1,069,632,564.75
  4. Step 4: Simplify right side
    716,028,048x = 1,144,113,823,573,662,976
  5. Step 5: Solve for x
    x = 1,144,113,823,573,662,976/716,028,048
  6. Step 6: Final answer
    x = 1,597,861,741.27

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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.