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Finding the Third Proportional to 524,734,334 and 1,148,317,108

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Solution

The third proportional to 524,734,334 and 1,148,317,108 is: 2,512,951,974.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,734,334 : 1,148,317,108 = 1,148,317,108 : x
  2. Step 2: Convert to fraction form
    524,734,334/1,148,317,108 = 1,148,317,108/x
  3. Step 3: Cross multiply
    524,734,334x = 1,148,317,108 × 1,148,317,108
  4. Step 4: Simplify right side
    524,734,334x = 1,318,632,180,525,483,776
  5. Step 5: Solve for x
    x = 1,318,632,180,525,483,776/524,734,334
  6. Step 6: Final answer
    x = 2,512,951,974.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.