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Finding the Third Proportional to 3,556,517,199,506 and 4,798,576,752,954

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Solution

The third proportional to 3,556,517,199,506 and 4,798,576,752,954 is: 6,474,406,719,357.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,556,517,199,506 : 4,798,576,752,954 = 4,798,576,752,954 : x
  2. Step 2: Convert to fraction form
    3,556,517,199,506/4,798,576,752,954 = 4,798,576,752,954/x
  3. Step 3: Cross multiply
    3,556,517,199,506x = 4,798,576,752,954 × 4,798,576,752,954
  4. Step 4: Simplify right side
    3,556,517,199,506x = 23,026,338,853,990,552,087,560,192
  5. Step 5: Solve for x
    x = 23,026,338,853,990,552,087,560,192/3,556,517,199,506
  6. Step 6: Final answer
    x = 6,474,406,719,357.05

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.