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Finding the Third Proportional to 318,665,454.75 and 685,758,541.50

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Solution

The third proportional to 318,665,454.75 and 685,758,541.50 is: 1,475,731,900.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,665,454.75 : 685,758,541.50 = 685,758,541.50 : x
  2. Step 2: Convert to fraction form
    318,665,454.75/685,758,541.50 = 685,758,541.50/x
  3. Step 3: Cross multiply
    318,665,454.75x = 685,758,541.50 × 685,758,541.50
  4. Step 4: Simplify right side
    318,665,454.75x = 470,264,777,240,207,232
  5. Step 5: Solve for x
    x = 470,264,777,240,207,232/318,665,454.75
  6. Step 6: Final answer
    x = 1,475,731,900.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.