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Finding the Third Proportional to 130,828,713,378 and 283,985,670,969

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Solution

The third proportional to 130,828,713,378 and 283,985,670,969 is: 616,438,541,917.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,828,713,378 : 283,985,670,969 = 283,985,670,969 : x
  2. Step 2: Convert to fraction form
    130,828,713,378/283,985,670,969 = 283,985,670,969/x
  3. Step 3: Cross multiply
    130,828,713,378x = 283,985,670,969 × 283,985,670,969
  4. Step 4: Simplify right side
    130,828,713,378x = 80,647,861,315,713,124,794,368
  5. Step 5: Solve for x
    x = 80,647,861,315,713,124,794,368/130,828,713,378
  6. Step 6: Final answer
    x = 616,438,541,917.78

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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.