Finding the Third Proportional to 651,642,103,584 and 1,402,875,410,016
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Solution
The third proportional to 651,642,103,584 and 1,402,875,410,016 is: 3,020,153,862,378.33
Step by Step Solution
- Step 1: Write the proportion equation
651,642,103,584 : 1,402,875,410,016 = 1,402,875,410,016 : x - Step 2: Convert to fraction form
651,642,103,584/1,402,875,410,016 = 1,402,875,410,016/x - Step 3: Cross multiply
651,642,103,584x = 1,402,875,410,016 × 1,402,875,410,016 - Step 4: Simplify right side
651,642,103,584x = 1,968,059,416,027,560,190,935,040 - Step 5: Solve for x
x = 1,968,059,416,027,560,190,935,040/651,642,103,584 - Step 6: Final answer
x = 3,020,153,862,378.33
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.