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Finding the Third Proportional to 383,135,431.50 and 591,937,800.75

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Solution

The third proportional to 383,135,431.50 and 591,937,800.75 is: 914,533,951.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,135,431.50 : 591,937,800.75 = 591,937,800.75 : x
  2. Step 2: Convert to fraction form
    383,135,431.50/591,937,800.75 = 591,937,800.75/x
  3. Step 3: Cross multiply
    383,135,431.50x = 591,937,800.75 × 591,937,800.75
  4. Step 4: Simplify right side
    383,135,431.50x = 350,390,359,956,746,688
  5. Step 5: Solve for x
    x = 350,390,359,956,746,688/383,135,431.50
  6. Step 6: Final answer
    x = 914,533,951.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.