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Finding the Third Proportional to 8,289,109,834.50 and 18,030,559,348.50

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Solution

The third proportional to 8,289,109,834.50 and 18,030,559,348.50 is: 39,220,263,322.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289,109,834.50 : 18,030,559,348.50 = 18,030,559,348.50 : x
  2. Step 2: Convert to fraction form
    8,289,109,834.50/18,030,559,348.50 = 18,030,559,348.50/x
  3. Step 3: Cross multiply
    8,289,109,834.50x = 18,030,559,348.50 × 18,030,559,348.50
  4. Step 4: Simplify right side
    8,289,109,834.50x = 325,101,070,419,780,763,648
  5. Step 5: Solve for x
    x = 325,101,070,419,780,763,648/8,289,109,834.50
  6. Step 6: Final answer
    x = 39,220,263,322.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.