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Finding the Third Proportional to 10,355,532,964 and 22,821,853,352

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Solution

The third proportional to 10,355,532,964 and 22,821,853,352 is: 50,295,527,253.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,355,532,964 : 22,821,853,352 = 22,821,853,352 : x
  2. Step 2: Convert to fraction form
    10,355,532,964/22,821,853,352 = 22,821,853,352/x
  3. Step 3: Cross multiply
    10,355,532,964x = 22,821,853,352 × 22,821,853,352
  4. Step 4: Simplify right side
    10,355,532,964x = 520,836,990,420,193,640,448
  5. Step 5: Solve for x
    x = 520,836,990,420,193,640,448/10,355,532,964
  6. Step 6: Final answer
    x = 50,295,527,253.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.