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Finding the Third Proportional to 447,394,989,516 and 981,407,953,044

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Solution

The third proportional to 447,394,989,516 and 981,407,953,044 is: 2,152,821,539,955.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,394,989,516 : 981,407,953,044 = 981,407,953,044 : x
  2. Step 2: Convert to fraction form
    447,394,989,516/981,407,953,044 = 981,407,953,044/x
  3. Step 3: Cross multiply
    447,394,989,516x = 981,407,953,044 × 981,407,953,044
  4. Step 4: Simplify right side
    447,394,989,516x = 963,161,570,298,014,161,960,960
  5. Step 5: Solve for x
    x = 963,161,570,298,014,161,960,960/447,394,989,516
  6. Step 6: Final answer
    x = 2,152,821,539,955.06

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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.