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Finding the Third Proportional to 5,196,641,395 and 12,125,915,663

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Solution

The third proportional to 5,196,641,395 and 12,125,915,663 is: 28,294,781,088.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196,641,395 : 12,125,915,663 = 12,125,915,663 : x
  2. Step 2: Convert to fraction form
    5,196,641,395/12,125,915,663 = 12,125,915,663/x
  3. Step 3: Cross multiply
    5,196,641,395x = 12,125,915,663 × 12,125,915,663
  4. Step 4: Simplify right side
    5,196,641,395x = 147,037,830,666,188,734,464
  5. Step 5: Solve for x
    x = 147,037,830,666,188,734,464/5,196,641,395
  6. Step 6: Final answer
    x = 28,294,781,088.35

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.