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Finding the Third Proportional to 396,507,557 and 825,599,952

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Solution

The third proportional to 396,507,557 and 825,599,952 is: 1,719,047,389.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,507,557 : 825,599,952 = 825,599,952 : x
  2. Step 2: Convert to fraction form
    396,507,557/825,599,952 = 825,599,952/x
  3. Step 3: Cross multiply
    396,507,557x = 825,599,952 × 825,599,952
  4. Step 4: Simplify right side
    396,507,557x = 681,615,280,742,402,304
  5. Step 5: Solve for x
    x = 681,615,280,742,402,304/396,507,557
  6. Step 6: Final answer
    x = 1,719,047,389.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.