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Finding the Third Proportional to 761,342,787 and 1,147,054,756.50

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Solution

The third proportional to 761,342,787 and 1,147,054,756.50 is: 1,728,176,370.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,342,787 : 1,147,054,756.50 = 1,147,054,756.50 : x
  2. Step 2: Convert to fraction form
    761,342,787/1,147,054,756.50 = 1,147,054,756.50/x
  3. Step 3: Cross multiply
    761,342,787x = 1,147,054,756.50 × 1,147,054,756.50
  4. Step 4: Simplify right side
    761,342,787x = 1,315,734,614,409,274,368
  5. Step 5: Solve for x
    x = 1,315,734,614,409,274,368/761,342,787
  6. Step 6: Final answer
    x = 1,728,176,370.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.