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Finding the Third Proportional to 439,538,075,220 and 952,096,841,361

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Solution

The third proportional to 439,538,075,220 and 952,096,841,361 is: 2,062,366,030,237.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,538,075,220 : 952,096,841,361 = 952,096,841,361 : x
  2. Step 2: Convert to fraction form
    439,538,075,220/952,096,841,361 = 952,096,841,361/x
  3. Step 3: Cross multiply
    439,538,075,220x = 952,096,841,361 × 952,096,841,361
  4. Step 4: Simplify right side
    439,538,075,220x = 906,488,395,329,593,254,346,752
  5. Step 5: Solve for x
    x = 906,488,395,329,593,254,346,752/439,538,075,220
  6. Step 6: Final answer
    x = 2,062,366,030,237.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.