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Finding the Third Proportional to 432,033,804 and 931,621,608

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Solution

The third proportional to 432,033,804 and 931,621,608 is: 2,008,914,146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,033,804 : 931,621,608 = 931,621,608 : x
  2. Step 2: Convert to fraction form
    432,033,804/931,621,608 = 931,621,608/x
  3. Step 3: Cross multiply
    432,033,804x = 931,621,608 × 931,621,608
  4. Step 4: Simplify right side
    432,033,804x = 867,918,820,492,505,600
  5. Step 5: Solve for x
    x = 867,918,820,492,505,600/432,033,804
  6. Step 6: Final answer
    x = 2,008,914,146.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.