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Finding the Third Proportional to 130,828,713,356 and 283,985,670,932

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Solution

The third proportional to 130,828,713,356 and 283,985,670,932 is: 616,438,541,860.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,828,713,356 : 283,985,670,932 = 283,985,670,932 : x
  2. Step 2: Convert to fraction form
    130,828,713,356/283,985,670,932 = 283,985,670,932/x
  3. Step 3: Cross multiply
    130,828,713,356x = 283,985,670,932 × 283,985,670,932
  4. Step 4: Simplify right side
    130,828,713,356x = 80,647,861,294,698,185,359,360
  5. Step 5: Solve for x
    x = 80,647,861,294,698,185,359,360/130,828,713,356
  6. Step 6: Final answer
    x = 616,438,541,860.81

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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.