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Finding the Third Proportional to 780,556,176 and 1,697,156,064

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Solution

The third proportional to 780,556,176 and 1,697,156,064 is: 3,690,110,710.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,556,176 : 1,697,156,064 = 1,697,156,064 : x
  2. Step 2: Convert to fraction form
    780,556,176/1,697,156,064 = 1,697,156,064/x
  3. Step 3: Cross multiply
    780,556,176x = 1,697,156,064 × 1,697,156,064
  4. Step 4: Simplify right side
    780,556,176x = 2,880,338,705,571,972,096
  5. Step 5: Solve for x
    x = 2,880,338,705,571,972,096/780,556,176
  6. Step 6: Final answer
    x = 3,690,110,710.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.