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Finding the Third Proportional to 2,961,288,129 and 6,432,339,714

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Solution

The third proportional to 2,961,288,129 and 6,432,339,714 is: 13,971,958,280.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961,288,129 : 6,432,339,714 = 6,432,339,714 : x
  2. Step 2: Convert to fraction form
    2,961,288,129/6,432,339,714 = 6,432,339,714/x
  3. Step 3: Cross multiply
    2,961,288,129x = 6,432,339,714 × 6,432,339,714
  4. Step 4: Simplify right side
    2,961,288,129x = 41,374,994,196,301,602,816
  5. Step 5: Solve for x
    x = 41,374,994,196,301,602,816/2,961,288,129
  6. Step 6: Final answer
    x = 13,971,958,280.96

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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.