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Finding the Third Proportional to 531,004,064 and 831,149,430

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Solution

The third proportional to 531,004,064 and 831,149,430 is: 1,300,949,318.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,004,064 : 831,149,430 = 831,149,430 : x
  2. Step 2: Convert to fraction form
    531,004,064/831,149,430 = 831,149,430/x
  3. Step 3: Cross multiply
    531,004,064x = 831,149,430 × 831,149,430
  4. Step 4: Simplify right side
    531,004,064x = 690,809,374,989,324,928
  5. Step 5: Solve for x
    x = 690,809,374,989,324,928/531,004,064
  6. Step 6: Final answer
    x = 1,300,949,318.14

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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.