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Finding the Third Proportional to 4,628,054,600 and 7,050,363,000

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Solution

The third proportional to 4,628,054,600 and 7,050,363,000 is: 10,740,499,567.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,628,054,600 : 7,050,363,000 = 7,050,363,000 : x
  2. Step 2: Convert to fraction form
    4,628,054,600/7,050,363,000 = 7,050,363,000/x
  3. Step 3: Cross multiply
    4,628,054,600x = 7,050,363,000 × 7,050,363,000
  4. Step 4: Simplify right side
    4,628,054,600x = 49,707,618,431,769,001,984
  5. Step 5: Solve for x
    x = 49,707,618,431,769,001,984/4,628,054,600
  6. Step 6: Final answer
    x = 10,740,499,567.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.