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Finding the Third Proportional to 912,446,998 and 1,873,265,504

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Solution

The third proportional to 912,446,998 and 1,873,265,504 is: 3,845,838,340.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,446,998 : 1,873,265,504 = 1,873,265,504 : x
  2. Step 2: Convert to fraction form
    912,446,998/1,873,265,504 = 1,873,265,504/x
  3. Step 3: Cross multiply
    912,446,998x = 1,873,265,504 × 1,873,265,504
  4. Step 4: Simplify right side
    912,446,998x = 3,509,123,648,476,374,016
  5. Step 5: Solve for x
    x = 3,509,123,648,476,374,016/912,446,998
  6. Step 6: Final answer
    x = 3,845,838,340.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.