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Finding the Third Proportional to 6,618,295,326 and 14,180,777,382

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Solution

The third proportional to 6,618,295,326 and 14,180,777,382 is: 30,384,628,858.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,618,295,326 : 14,180,777,382 = 14,180,777,382 : x
  2. Step 2: Convert to fraction form
    6,618,295,326/14,180,777,382 = 14,180,777,382/x
  3. Step 3: Cross multiply
    6,618,295,326x = 14,180,777,382 × 14,180,777,382
  4. Step 4: Simplify right side
    6,618,295,326x = 201,094,447,157,842,771,968
  5. Step 5: Solve for x
    x = 201,094,447,157,842,771,968/6,618,295,326
  6. Step 6: Final answer
    x = 30,384,628,858.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.