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Finding the Third Proportional to 5,802,436,106 and 8,709,795,618

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Solution

The third proportional to 5,802,436,106 and 8,709,795,618 is: 13,073,912,115.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802,436,106 : 8,709,795,618 = 8,709,795,618 : x
  2. Step 2: Convert to fraction form
    5,802,436,106/8,709,795,618 = 8,709,795,618/x
  3. Step 3: Cross multiply
    5,802,436,106x = 8,709,795,618 × 8,709,795,618
  4. Step 4: Simplify right side
    5,802,436,106x = 75,860,539,707,332,001,792
  5. Step 5: Solve for x
    x = 75,860,539,707,332,001,792/5,802,436,106
  6. Step 6: Final answer
    x = 13,073,912,115.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.