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Finding the Third Proportional to 12,043,848,816 and 26,089,012,584

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Solution

The third proportional to 12,043,848,816 and 26,089,012,584 is: 56,513,211,682.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,043,848,816 : 26,089,012,584 = 26,089,012,584 : x
  2. Step 2: Convert to fraction form
    12,043,848,816/26,089,012,584 = 26,089,012,584/x
  3. Step 3: Cross multiply
    12,043,848,816x = 26,089,012,584 × 26,089,012,584
  4. Step 4: Simplify right side
    12,043,848,816x = 680,636,577,608,110,309,376
  5. Step 5: Solve for x
    x = 680,636,577,608,110,309,376/12,043,848,816
  6. Step 6: Final answer
    x = 56,513,211,682.29

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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.