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Finding the Third Proportional to 6,129,265,618 and 8,764,860,271

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Solution

The third proportional to 6,129,265,618 and 8,764,860,271 is: 12,533,765,112.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129,265,618 : 8,764,860,271 = 8,764,860,271 : x
  2. Step 2: Convert to fraction form
    6,129,265,618/8,764,860,271 = 8,764,860,271/x
  3. Step 3: Cross multiply
    6,129,265,618x = 8,764,860,271 × 8,764,860,271
  4. Step 4: Simplify right side
    6,129,265,618x = 76,822,775,570,154,192,896
  5. Step 5: Solve for x
    x = 76,822,775,570,154,192,896/6,129,265,618
  6. Step 6: Final answer
    x = 12,533,765,112.83

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.