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Finding the Third Proportional to 742,181,436 and 1,465,629,036

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Solution

The third proportional to 742,181,436 and 1,465,629,036 is: 2,894,263,271.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,181,436 : 1,465,629,036 = 1,465,629,036 : x
  2. Step 2: Convert to fraction form
    742,181,436/1,465,629,036 = 1,465,629,036/x
  3. Step 3: Cross multiply
    742,181,436x = 1,465,629,036 × 1,465,629,036
  4. Step 4: Simplify right side
    742,181,436x = 2,148,068,471,166,289,408
  5. Step 5: Solve for x
    x = 2,148,068,471,166,289,408/742,181,436
  6. Step 6: Final answer
    x = 2,894,263,271.72

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.