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Finding the Third Proportional to 1,461,809,760 and 3,156,606,645

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Solution

The third proportional to 1,461,809,760 and 3,156,606,645 is: 6,816,321,647.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461,809,760 : 3,156,606,645 = 3,156,606,645 : x
  2. Step 2: Convert to fraction form
    1,461,809,760/3,156,606,645 = 3,156,606,645/x
  3. Step 3: Cross multiply
    1,461,809,760x = 3,156,606,645 × 3,156,606,645
  4. Step 4: Simplify right side
    1,461,809,760x = 9,964,165,511,258,155,008
  5. Step 5: Solve for x
    x = 9,964,165,511,258,155,008/1,461,809,760
  6. Step 6: Final answer
    x = 6,816,321,647.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.