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Finding the Third Proportional to 51,545,908,566 and 110,969,636,884

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Solution

The third proportional to 51,545,908,566 and 110,969,636,884 is: 238,898,889,412.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,545,908,566 : 110,969,636,884 = 110,969,636,884 : x
  2. Step 2: Convert to fraction form
    51,545,908,566/110,969,636,884 = 110,969,636,884/x
  3. Step 3: Cross multiply
    51,545,908,566x = 110,969,636,884 × 110,969,636,884
  4. Step 4: Simplify right side
    51,545,908,566x = 12,314,260,310,166,813,540,352
  5. Step 5: Solve for x
    x = 12,314,260,310,166,813,540,352/51,545,908,566
  6. Step 6: Final answer
    x = 238,898,889,412.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.