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Finding the Third Proportional to 420,399,888 and 982,243,867.50

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Solution

The third proportional to 420,399,888 and 982,243,867.50 is: 2,294,964,967.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,399,888 : 982,243,867.50 = 982,243,867.50 : x
  2. Step 2: Convert to fraction form
    420,399,888/982,243,867.50 = 982,243,867.50/x
  3. Step 3: Cross multiply
    420,399,888x = 982,243,867.50 × 982,243,867.50
  4. Step 4: Simplify right side
    420,399,888x = 964,803,015,241,357,568
  5. Step 5: Solve for x
    x = 964,803,015,241,357,568/420,399,888
  6. Step 6: Final answer
    x = 2,294,964,967.36

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.