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Finding the Third Proportional to 49,908,569,784 and 110,975,983,356

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Solution

The third proportional to 49,908,569,784 and 110,975,983,356 is: 246,764,612,473.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,908,569,784 : 110,975,983,356 = 110,975,983,356 : x
  2. Step 2: Convert to fraction form
    49,908,569,784/110,975,983,356 = 110,975,983,356/x
  3. Step 3: Cross multiply
    49,908,569,784x = 110,975,983,356 × 110,975,983,356
  4. Step 4: Simplify right side
    49,908,569,784x = 12,315,668,881,831,188,496,384
  5. Step 5: Solve for x
    x = 12,315,668,881,831,188,496,384/49,908,569,784
  6. Step 6: Final answer
    x = 246,764,612,473.02

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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.