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Finding the Third Proportional to 1,968,153,153.75 and 4,337,478,612

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Solution

The third proportional to 1,968,153,153.75 and 4,337,478,612 is: 9,559,073,527.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968,153,153.75 : 4,337,478,612 = 4,337,478,612 : x
  2. Step 2: Convert to fraction form
    1,968,153,153.75/4,337,478,612 = 4,337,478,612/x
  3. Step 3: Cross multiply
    1,968,153,153.75x = 4,337,478,612 × 4,337,478,612
  4. Step 4: Simplify right side
    1,968,153,153.75x = 18,813,720,709,557,444,608
  5. Step 5: Solve for x
    x = 18,813,720,709,557,444,608/1,968,153,153.75
  6. Step 6: Final answer
    x = 9,559,073,527.24

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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.