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Finding the Third Proportional to 6,583,899,648 and 10,030,202,064

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Solution

The third proportional to 6,583,899,648 and 10,030,202,064 is: 15,280,450,617.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583,899,648 : 10,030,202,064 = 10,030,202,064 : x
  2. Step 2: Convert to fraction form
    6,583,899,648/10,030,202,064 = 10,030,202,064/x
  3. Step 3: Cross multiply
    6,583,899,648x = 10,030,202,064 × 10,030,202,064
  4. Step 4: Simplify right side
    6,583,899,648x = 100,604,953,444,669,865,984
  5. Step 5: Solve for x
    x = 100,604,953,444,669,865,984/6,583,899,648
  6. Step 6: Final answer
    x = 15,280,450,617.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.