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Finding the Third Proportional to 2,641,430,425 and 5,757,496,753

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Solution

The third proportional to 2,641,430,425 and 5,757,496,753 is: 12,549,552,146.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641,430,425 : 5,757,496,753 = 5,757,496,753 : x
  2. Step 2: Convert to fraction form
    2,641,430,425/5,757,496,753 = 5,757,496,753/x
  3. Step 3: Cross multiply
    2,641,430,425x = 5,757,496,753 × 5,757,496,753
  4. Step 4: Simplify right side
    2,641,430,425x = 33,148,768,860,805,541,888
  5. Step 5: Solve for x
    x = 33,148,768,860,805,541,888/2,641,430,425
  6. Step 6: Final answer
    x = 12,549,552,146.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.