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Finding the Third Proportional to 531,004,013 and 831,149,355

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Solution

The third proportional to 531,004,013 and 831,149,355 is: 1,300,949,208.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,004,013 : 831,149,355 = 831,149,355 : x
  2. Step 2: Convert to fraction form
    531,004,013/831,149,355 = 831,149,355/x
  3. Step 3: Cross multiply
    531,004,013x = 831,149,355 × 831,149,355
  4. Step 4: Simplify right side
    531,004,013x = 690,809,250,316,915,968
  5. Step 5: Solve for x
    x = 690,809,250,316,915,968/531,004,013
  6. Step 6: Final answer
    x = 1,300,949,208.30

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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.