Finding the Third Proportional to 5,209,889,481,742 and 7,881,840,539,911
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Solution
The third proportional to 5,209,889,481,742 and 7,881,840,539,911 is: 11,924,132,078,865.65
Step by Step Solution
- Step 1: Write the proportion equation
5,209,889,481,742 : 7,881,840,539,911 = 7,881,840,539,911 : x - Step 2: Convert to fraction form
5,209,889,481,742/7,881,840,539,911 = 7,881,840,539,911/x - Step 3: Cross multiply
5,209,889,481,742x = 7,881,840,539,911 × 7,881,840,539,911 - Step 4: Simplify right side
5,209,889,481,742x = 62,123,410,296,584,521,149,054,976 - Step 5: Solve for x
x = 62,123,410,296,584,521,149,054,976/5,209,889,481,742 - Step 6: Final answer
x = 11,924,132,078,865.65
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.