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Finding the Third Proportional to 459,366,954.50 and 1,008,015,745

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Solution

The third proportional to 459,366,954.50 and 1,008,015,745 is: 2,211,947,838.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,366,954.50 : 1,008,015,745 = 1,008,015,745 : x
  2. Step 2: Convert to fraction form
    459,366,954.50/1,008,015,745 = 1,008,015,745/x
  3. Step 3: Cross multiply
    459,366,954.50x = 1,008,015,745 × 1,008,015,745
  4. Step 4: Simplify right side
    459,366,954.50x = 1,016,095,742,167,905,024
  5. Step 5: Solve for x
    x = 1,016,095,742,167,905,024/459,366,954.50
  6. Step 6: Final answer
    x = 2,211,947,838.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.