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Finding the Third Proportional to 727,360,648 and 1,595,542,064

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Solution

The third proportional to 727,360,648 and 1,595,542,064 is: 3,499,989,290.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,360,648 : 1,595,542,064 = 1,595,542,064 : x
  2. Step 2: Convert to fraction form
    727,360,648/1,595,542,064 = 1,595,542,064/x
  3. Step 3: Cross multiply
    727,360,648x = 1,595,542,064 × 1,595,542,064
  4. Step 4: Simplify right side
    727,360,648x = 2,545,754,477,993,379,840
  5. Step 5: Solve for x
    x = 2,545,754,477,993,379,840/727,360,648
  6. Step 6: Final answer
    x = 3,499,989,290.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.