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Finding the Third Proportional to 707,001,062 and 1,536,381,178

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Solution

The third proportional to 707,001,062 and 1,536,381,178 is: 3,338,703,788.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,001,062 : 1,536,381,178 = 1,536,381,178 : x
  2. Step 2: Convert to fraction form
    707,001,062/1,536,381,178 = 1,536,381,178/x
  3. Step 3: Cross multiply
    707,001,062x = 1,536,381,178 × 1,536,381,178
  4. Step 4: Simplify right side
    707,001,062x = 2,360,467,124,112,667,648
  5. Step 5: Solve for x
    x = 2,360,467,124,112,667,648/707,001,062
  6. Step 6: Final answer
    x = 3,338,703,788.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.