Finding the Third Proportional to 758,502,774,516 and 1,095,905,523,726
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Solution
The third proportional to 758,502,774,516 and 1,095,905,523,726 is: 1,583,394,230,429.18
Step by Step Solution
- Step 1: Write the proportion equation
758,502,774,516 : 1,095,905,523,726 = 1,095,905,523,726 : x - Step 2: Convert to fraction form
758,502,774,516/1,095,905,523,726 = 1,095,905,523,726/x - Step 3: Cross multiply
758,502,774,516x = 1,095,905,523,726 × 1,095,905,523,726 - Step 4: Simplify right side
758,502,774,516x = 1,201,008,916,933,158,316,802,048 - Step 5: Solve for x
x = 1,201,008,916,933,158,316,802,048/758,502,774,516 - Step 6: Final answer
x = 1,583,394,230,429.18
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Why These Related Problems?
These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.