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Finding the Third Proportional to 439,480,557,530 and 942,549,567,068

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Solution

The third proportional to 439,480,557,530 and 942,549,567,068 is: 2,021,476,652,740.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,480,557,530 : 942,549,567,068 = 942,549,567,068 : x
  2. Step 2: Convert to fraction form
    439,480,557,530/942,549,567,068 = 942,549,567,068/x
  3. Step 3: Cross multiply
    439,480,557,530x = 942,549,567,068 × 942,549,567,068
  4. Step 4: Simplify right side
    439,480,557,530x = 888,399,686,380,074,209,116,160
  5. Step 5: Solve for x
    x = 888,399,686,380,074,209,116,160/439,480,557,530
  6. Step 6: Final answer
    x = 2,021,476,652,740.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.