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Finding the Third Proportional to 1,980,180,536 and 4,196,405,438

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Solution

The third proportional to 1,980,180,536 and 4,196,405,438 is: 8,893,036,912.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980,180,536 : 4,196,405,438 = 4,196,405,438 : x
  2. Step 2: Convert to fraction form
    1,980,180,536/4,196,405,438 = 4,196,405,438/x
  3. Step 3: Cross multiply
    1,980,180,536x = 4,196,405,438 × 4,196,405,438
  4. Step 4: Simplify right side
    1,980,180,536x = 17,609,818,600,075,972,608
  5. Step 5: Solve for x
    x = 17,609,818,600,075,972,608/1,980,180,536
  6. Step 6: Final answer
    x = 8,893,036,912.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.