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Finding the Third Proportional to 1,232,374,975 and 1,908,919,378

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Solution

The third proportional to 1,232,374,975 and 1,908,919,378 is: 2,956,870,486.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232,374,975 : 1,908,919,378 = 1,908,919,378 : x
  2. Step 2: Convert to fraction form
    1,232,374,975/1,908,919,378 = 1,908,919,378/x
  3. Step 3: Cross multiply
    1,232,374,975x = 1,908,919,378 × 1,908,919,378
  4. Step 4: Simplify right side
    1,232,374,975x = 3,643,973,191,703,906,816
  5. Step 5: Solve for x
    x = 3,643,973,191,703,906,816/1,232,374,975
  6. Step 6: Final answer
    x = 2,956,870,486.36

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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.