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Finding the Third Proportional to 439,538,075,403 and 952,096,841,727

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Solution

The third proportional to 439,538,075,403 and 952,096,841,727 is: 2,062,366,030,964.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,538,075,403 : 952,096,841,727 = 952,096,841,727 : x
  2. Step 2: Convert to fraction form
    439,538,075,403/952,096,841,727 = 952,096,841,727/x
  3. Step 3: Cross multiply
    439,538,075,403x = 952,096,841,727 × 952,096,841,727
  4. Step 4: Simplify right side
    439,538,075,403x = 906,488,396,026,528,068,009,984
  5. Step 5: Solve for x
    x = 906,488,396,026,528,068,009,984/439,538,075,403
  6. Step 6: Final answer
    x = 2,062,366,030,964.20

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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.