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Finding the Third Proportional to 716,028,048 and 1,069,632,564

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Solution

The third proportional to 716,028,048 and 1,069,632,564 is: 1,597,861,739.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,028,048 : 1,069,632,564 = 1,069,632,564 : x
  2. Step 2: Convert to fraction form
    716,028,048/1,069,632,564 = 1,069,632,564/x
  3. Step 3: Cross multiply
    716,028,048x = 1,069,632,564 × 1,069,632,564
  4. Step 4: Simplify right side
    716,028,048x = 1,144,113,821,969,214,080
  5. Step 5: Solve for x
    x = 1,144,113,821,969,214,080/716,028,048
  6. Step 6: Final answer
    x = 1,597,861,739.03

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Why These Related Problems?

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