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Finding the Third Proportional to 378,611,025.75 and 581,592,894.75

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Solution

The third proportional to 378,611,025.75 and 581,592,894.75 is: 893,397,899.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,611,025.75 : 581,592,894.75 = 581,592,894.75 : x
  2. Step 2: Convert to fraction form
    378,611,025.75/581,592,894.75 = 581,592,894.75/x
  3. Step 3: Cross multiply
    378,611,025.75x = 581,592,894.75 × 581,592,894.75
  4. Step 4: Simplify right side
    378,611,025.75x = 338,250,295,223,684,608
  5. Step 5: Solve for x
    x = 338,250,295,223,684,608/378,611,025.75
  6. Step 6: Final answer
    x = 893,397,899.74

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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.