Finding the Third Proportional to 51,230,538,613,490 and 78,046,181,877,939
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Solution
The third proportional to 51,230,538,613,490 and 78,046,181,877,939 is: 118,897,959,509,650.75
Step by Step Solution
- Step 1: Write the proportion equation
51,230,538,613,490 : 78,046,181,877,939 = 78,046,181,877,939 : x - Step 2: Convert to fraction form
51,230,538,613,490/78,046,181,877,939 = 78,046,181,877,939/x - Step 3: Cross multiply
51,230,538,613,490x = 78,046,181,877,939 × 78,046,181,877,939 - Step 4: Simplify right side
51,230,538,613,490x = 6,091,206,505,724,333,504,119,963,648 - Step 5: Solve for x
x = 6,091,206,505,724,333,504,119,963,648/51,230,538,613,490 - Step 6: Final answer
x = 118,897,959,509,650.75
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.