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Finding the Third Proportional to 4,235,031,837 and 6,407,015,922

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Solution

The third proportional to 4,235,031,837 and 6,407,015,922 is: 9,692,926,666.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,235,031,837 : 6,407,015,922 = 6,407,015,922 : x
  2. Step 2: Convert to fraction form
    4,235,031,837/6,407,015,922 = 6,407,015,922/x
  3. Step 3: Cross multiply
    4,235,031,837x = 6,407,015,922 × 6,407,015,922
  4. Step 4: Simplify right side
    4,235,031,837x = 41,049,853,024,761,511,936
  5. Step 5: Solve for x
    x = 41,049,853,024,761,511,936/4,235,031,837
  6. Step 6: Final answer
    x = 9,692,926,666.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.