Finding the Third Proportional to 10,792,089,594 and 24,065,630,388
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Solution
The third proportional to 10,792,089,594 and 24,065,630,388 is: 53,664,729,237.78
Step by Step Solution
- Step 1: Write the proportion equation
10,792,089,594 : 24,065,630,388 = 24,065,630,388 : x - Step 2: Convert to fraction form
10,792,089,594/24,065,630,388 = 24,065,630,388/x - Step 3: Cross multiply
10,792,089,594x = 24,065,630,388 × 24,065,630,388 - Step 4: Simplify right side
10,792,089,594x = 579,154,565,971,828,998,144 - Step 5: Solve for x
x = 579,154,565,971,828,998,144/10,792,089,594 - Step 6: Final answer
x = 53,664,729,237.78
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.