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Finding the Third Proportional to 1,562,390,871.75 and 2,380,214,751.75

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Solution

The third proportional to 1,562,390,871.75 and 2,380,214,751.75 is: 3,626,123,505.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562,390,871.75 : 2,380,214,751.75 = 2,380,214,751.75 : x
  2. Step 2: Convert to fraction form
    1,562,390,871.75/2,380,214,751.75 = 2,380,214,751.75/x
  3. Step 3: Cross multiply
    1,562,390,871.75x = 2,380,214,751.75 × 2,380,214,751.75
  4. Step 4: Simplify right side
    1,562,390,871.75x = 5,665,422,264,448,314,368
  5. Step 5: Solve for x
    x = 5,665,422,264,448,314,368/1,562,390,871.75
  6. Step 6: Final answer
    x = 3,626,123,505.25

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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.