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Finding the Third Proportional to 355,147,157,937 and 513,126,313,308

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Solution

The third proportional to 355,147,157,937 and 513,126,313,308 is: 741,378,911,599.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,147,157,937 : 513,126,313,308 = 513,126,313,308 : x
  2. Step 2: Convert to fraction form
    355,147,157,937/513,126,313,308 = 513,126,313,308/x
  3. Step 3: Cross multiply
    355,147,157,937x = 513,126,313,308 × 513,126,313,308
  4. Step 4: Simplify right side
    355,147,157,937x = 263,298,613,409,059,763,650,560
  5. Step 5: Solve for x
    x = 263,298,613,409,059,763,650,560/355,147,157,937
  6. Step 6: Final answer
    x = 741,378,911,599.70

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.