Finding the Third Proportional to 10,547,855,627,686 and 22,848,438,438,153
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Solution
The third proportional to 10,547,855,627,686 and 22,848,438,438,153 is: 49,493,580,258,321.73
Step by Step Solution
- Step 1: Write the proportion equation
10,547,855,627,686 : 22,848,438,438,153 = 22,848,438,438,153 : x - Step 2: Convert to fraction form
10,547,855,627,686/22,848,438,438,153 = 22,848,438,438,153/x - Step 3: Cross multiply
10,547,855,627,686x = 22,848,438,438,153 × 22,848,438,438,153 - Step 4: Simplify right side
10,547,855,627,686x = 522,051,139,062,067,493,544,656,896 - Step 5: Solve for x
x = 522,051,139,062,067,493,544,656,896/10,547,855,627,686 - Step 6: Final answer
x = 49,493,580,258,321.73
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.