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Finding the Third Proportional to 525,871,164 and 820,642,014

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Solution

The third proportional to 525,871,164 and 820,642,014 is: 1,280,643,171.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,871,164 : 820,642,014 = 820,642,014 : x
  2. Step 2: Convert to fraction form
    525,871,164/820,642,014 = 820,642,014/x
  3. Step 3: Cross multiply
    525,871,164x = 820,642,014 × 820,642,014
  4. Step 4: Simplify right side
    525,871,164x = 673,453,315,141,976,192
  5. Step 5: Solve for x
    x = 673,453,315,141,976,192/525,871,164
  6. Step 6: Final answer
    x = 1,280,643,171.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.