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Finding the Third Proportional to 11,674,089,314,613 and 25,105,088,928,368

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Solution

The third proportional to 11,674,089,314,613 and 25,105,088,928,368 is: 53,988,407,413,701.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,674,089,314,613 : 25,105,088,928,368 = 25,105,088,928,368 : x
  2. Step 2: Convert to fraction form
    11,674,089,314,613/25,105,088,928,368 = 25,105,088,928,368/x
  3. Step 3: Cross multiply
    11,674,089,314,613x = 25,105,088,928,368 × 25,105,088,928,368
  4. Step 4: Simplify right side
    11,674,089,314,613x = 630,265,490,101,265,587,601,670,144
  5. Step 5: Solve for x
    x = 630,265,490,101,265,587,601,670,144/11,674,089,314,613
  6. Step 6: Final answer
    x = 53,988,407,413,701.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.