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Finding the Third Proportional to 41,658,597,904.50 and 91,275,962,670

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Solution

The third proportional to 41,658,597,904.50 and 91,275,962,670 is: 199,989,960,786.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,658,597,904.50 : 91,275,962,670 = 91,275,962,670 : x
  2. Step 2: Convert to fraction form
    41,658,597,904.50/91,275,962,670 = 91,275,962,670/x
  3. Step 3: Cross multiply
    41,658,597,904.50x = 91,275,962,670 × 91,275,962,670
  4. Step 4: Simplify right side
    41,658,597,904.50x = 8,331,301,361,335,233,675,264
  5. Step 5: Solve for x
    x = 8,331,301,361,335,233,675,264/41,658,597,904.50
  6. Step 6: Final answer
    x = 199,989,960,786.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.