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Finding the Third Proportional to 459,465,504 and 983,516,016

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Solution

The third proportional to 459,465,504 and 983,516,016 is: 2,105,280,473.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,465,504 : 983,516,016 = 983,516,016 : x
  2. Step 2: Convert to fraction form
    459,465,504/983,516,016 = 983,516,016/x
  3. Step 3: Cross multiply
    459,465,504x = 983,516,016 × 983,516,016
  4. Step 4: Simplify right side
    459,465,504x = 967,303,753,728,512,256
  5. Step 5: Solve for x
    x = 967,303,753,728,512,256/459,465,504
  6. Step 6: Final answer
    x = 2,105,280,473.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.