Finding the Third Proportional to 35,919,387,374,172 and 73,742,966,111,928
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Solution
The third proportional to 35,919,387,374,172 and 73,742,966,111,928 is: 151,395,261,682,419.38
Step by Step Solution
- Step 1: Write the proportion equation
35,919,387,374,172 : 73,742,966,111,928 = 73,742,966,111,928 : x - Step 2: Convert to fraction form
35,919,387,374,172/73,742,966,111,928 = 73,742,966,111,928/x - Step 3: Cross multiply
35,919,387,374,172x = 73,742,966,111,928 × 73,742,966,111,928 - Step 4: Simplify right side
35,919,387,374,172x = 5,438,025,050,984,961,021,344,481,280 - Step 5: Solve for x
x = 5,438,025,050,984,961,021,344,481,280/35,919,387,374,172 - Step 6: Final answer
x = 151,395,261,682,419.38
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.