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Finding the Third Proportional to 4,968,907,050 and 10,635,817,020

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Solution

The third proportional to 4,968,907,050 and 10,635,817,020 is: 22,765,691,236.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968,907,050 : 10,635,817,020 = 10,635,817,020 : x
  2. Step 2: Convert to fraction form
    4,968,907,050/10,635,817,020 = 10,635,817,020/x
  3. Step 3: Cross multiply
    4,968,907,050x = 10,635,817,020 × 10,635,817,020
  4. Step 4: Simplify right side
    4,968,907,050x = 113,120,603,682,921,676,800
  5. Step 5: Solve for x
    x = 113,120,603,682,921,676,800/4,968,907,050
  6. Step 6: Final answer
    x = 22,765,691,236.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.