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Finding the Third Proportional to 943,757,910 and 1,465,325,507

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Solution

The third proportional to 943,757,910 and 1,465,325,507 is: 2,275,137,319.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,757,910 : 1,465,325,507 = 1,465,325,507 : x
  2. Step 2: Convert to fraction form
    943,757,910/1,465,325,507 = 1,465,325,507/x
  3. Step 3: Cross multiply
    943,757,910x = 1,465,325,507 × 1,465,325,507
  4. Step 4: Simplify right side
    943,757,910x = 2,147,178,841,464,807,168
  5. Step 5: Solve for x
    x = 2,147,178,841,464,807,168/943,757,910
  6. Step 6: Final answer
    x = 2,275,137,319.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.