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Finding the Third Proportional to 720,068,210 and 1,570,969,846

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Solution

The third proportional to 720,068,210 and 1,570,969,846 is: 3,427,378,438.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,068,210 : 1,570,969,846 = 1,570,969,846 : x
  2. Step 2: Convert to fraction form
    720,068,210/1,570,969,846 = 1,570,969,846/x
  3. Step 3: Cross multiply
    720,068,210x = 1,570,969,846 × 1,570,969,846
  4. Step 4: Simplify right side
    720,068,210x = 2,467,946,257,041,263,616
  5. Step 5: Solve for x
    x = 2,467,946,257,041,263,616/720,068,210
  6. Step 6: Final answer
    x = 3,427,378,438.27

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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.