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Finding the Third Proportional to 439,480,557,456 and 942,549,566,916

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Solution

The third proportional to 439,480,557,456 and 942,549,566,916 is: 2,021,476,652,428.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,480,557,456 : 942,549,566,916 = 942,549,566,916 : x
  2. Step 2: Convert to fraction form
    439,480,557,456/942,549,566,916 = 942,549,566,916/x
  3. Step 3: Cross multiply
    439,480,557,456x = 942,549,566,916 × 942,549,566,916
  4. Step 4: Simplify right side
    439,480,557,456x = 888,399,686,093,539,224,059,904
  5. Step 5: Solve for x
    x = 888,399,686,093,539,224,059,904/439,480,557,456
  6. Step 6: Final answer
    x = 2,021,476,652,428.44

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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.