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Finding the Third Proportional to 531,004,011 and 831,149,352

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Solution

The third proportional to 531,004,011 and 831,149,352 is: 1,300,949,203.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,004,011 : 831,149,352 = 831,149,352 : x
  2. Step 2: Convert to fraction form
    531,004,011/831,149,352 = 831,149,352/x
  3. Step 3: Cross multiply
    531,004,011x = 831,149,352 × 831,149,352
  4. Step 4: Simplify right side
    531,004,011x = 690,809,245,330,019,840
  5. Step 5: Solve for x
    x = 690,809,245,330,019,840/531,004,011
  6. Step 6: Final answer
    x = 1,300,949,203.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.