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Finding the Third Proportional to 1,648,745,008 and 3,555,763,014

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Solution

The third proportional to 1,648,745,008 and 3,555,763,014 is: 7,668,530,033.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,745,008 : 3,555,763,014 = 3,555,763,014 : x
  2. Step 2: Convert to fraction form
    1,648,745,008/3,555,763,014 = 3,555,763,014/x
  3. Step 3: Cross multiply
    1,648,745,008x = 3,555,763,014 × 3,555,763,014
  4. Step 4: Simplify right side
    1,648,745,008x = 12,643,450,611,730,364,416
  5. Step 5: Solve for x
    x = 12,643,450,611,730,364,416/1,648,745,008
  6. Step 6: Final answer
    x = 7,668,530,033.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.