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Finding the Third Proportional to 1,741,298,103 and 2,662,590,453.75

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Solution

The third proportional to 1,741,298,103 and 2,662,590,453.75 is: 4,071,323,521.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741,298,103 : 2,662,590,453.75 = 2,662,590,453.75 : x
  2. Step 2: Convert to fraction form
    1,741,298,103/2,662,590,453.75 = 2,662,590,453.75/x
  3. Step 3: Cross multiply
    1,741,298,103x = 2,662,590,453.75 × 2,662,590,453.75
  4. Step 4: Simplify right side
    1,741,298,103x = 7,089,387,924,400,630,784
  5. Step 5: Solve for x
    x = 7,089,387,924,400,630,784/1,741,298,103
  6. Step 6: Final answer
    x = 4,071,323,521.34

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.