Finding the Third Proportional to 14,386,400,834,535 and 31,065,744,458,664
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Solution
The third proportional to 14,386,400,834,535 and 31,065,744,458,664 is: 67,082,829,810,657.54
Step by Step Solution
- Step 1: Write the proportion equation
14,386,400,834,535 : 31,065,744,458,664 = 31,065,744,458,664 : x - Step 2: Convert to fraction form
14,386,400,834,535/31,065,744,458,664 = 31,065,744,458,664/x - Step 3: Cross multiply
14,386,400,834,535x = 31,065,744,458,664 × 31,065,744,458,664 - Step 4: Simplify right side
14,386,400,834,535x = 965,080,478,771,012,978,224,398,336 - Step 5: Solve for x
x = 965,080,478,771,012,978,224,398,336/14,386,400,834,535 - Step 6: Final answer
x = 67,082,829,810,657.54
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.