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Finding the Third Proportional to 656,189,868 and 1,548,998,046

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Solution

The third proportional to 656,189,868 and 1,548,998,046 is: 3,656,555,920.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,189,868 : 1,548,998,046 = 1,548,998,046 : x
  2. Step 2: Convert to fraction form
    656,189,868/1,548,998,046 = 1,548,998,046/x
  3. Step 3: Cross multiply
    656,189,868x = 1,548,998,046 × 1,548,998,046
  4. Step 4: Simplify right side
    656,189,868x = 2,399,394,946,511,818,240
  5. Step 5: Solve for x
    x = 2,399,394,946,511,818,240/656,189,868
  6. Step 6: Final answer
    x = 3,656,555,920.05

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.