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Finding the Third Proportional to 459,366,030 and 1,008,014,130

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Solution

The third proportional to 459,366,030 and 1,008,014,130 is: 2,211,945,202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,366,030 : 1,008,014,130 = 1,008,014,130 : x
  2. Step 2: Convert to fraction form
    459,366,030/1,008,014,130 = 1,008,014,130/x
  3. Step 3: Cross multiply
    459,366,030x = 1,008,014,130 × 1,008,014,130
  4. Step 4: Simplify right side
    459,366,030x = 1,016,092,486,279,656,960
  5. Step 5: Solve for x
    x = 1,016,092,486,279,656,960/459,366,030
  6. Step 6: Final answer
    x = 2,211,945,202.56

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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.