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Finding the Third Proportional to 49,908,569,778 and 110,975,983,344

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Solution

The third proportional to 49,908,569,778 and 110,975,983,344 is: 246,764,612,449.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,908,569,778 : 110,975,983,344 = 110,975,983,344 : x
  2. Step 2: Convert to fraction form
    49,908,569,778/110,975,983,344 = 110,975,983,344/x
  3. Step 3: Cross multiply
    49,908,569,778x = 110,975,983,344 × 110,975,983,344
  4. Step 4: Simplify right side
    49,908,569,778x = 12,315,668,879,167,765,610,496
  5. Step 5: Solve for x
    x = 12,315,668,879,167,765,610,496/49,908,569,778
  6. Step 6: Final answer
    x = 246,764,612,449.32

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.