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Finding the Third Proportional to 313,048,650 and 680,038,684

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Solution

The third proportional to 313,048,650 and 680,038,684 is: 1,477,254,770.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,048,650 : 680,038,684 = 680,038,684 : x
  2. Step 2: Convert to fraction form
    313,048,650/680,038,684 = 680,038,684/x
  3. Step 3: Cross multiply
    313,048,650x = 680,038,684 × 680,038,684
  4. Step 4: Simplify right side
    313,048,650x = 462,452,611,736,451,840
  5. Step 5: Solve for x
    x = 462,452,611,736,451,840/313,048,650
  6. Step 6: Final answer
    x = 1,477,254,770.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.