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Finding the Third Proportional to 307,884,226 and 663,893,444

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Solution

The third proportional to 307,884,226 and 663,893,444 is: 1,431,559,228.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,884,226 : 663,893,444 = 663,893,444 : x
  2. Step 2: Convert to fraction form
    307,884,226/663,893,444 = 663,893,444/x
  3. Step 3: Cross multiply
    307,884,226x = 663,893,444 × 663,893,444
  4. Step 4: Simplify right side
    307,884,226x = 440,754,504,986,181,120
  5. Step 5: Solve for x
    x = 440,754,504,986,181,120/307,884,226
  6. Step 6: Final answer
    x = 1,431,559,228.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.