Finding the Third Proportional to 628,743,118,599 and 1,367,648,537,842
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Solution
The third proportional to 628,743,118,599 and 1,367,648,537,842 is: 2,974,923,252,009.86
Step by Step Solution
- Step 1: Write the proportion equation
628,743,118,599 : 1,367,648,537,842 = 1,367,648,537,842 : x - Step 2: Convert to fraction form
628,743,118,599/1,367,648,537,842 = 1,367,648,537,842/x - Step 3: Cross multiply
628,743,118,599x = 1,367,648,537,842 × 1,367,648,537,842 - Step 4: Simplify right side
628,743,118,599x = 1,870,462,523,061,360,373,268,480 - Step 5: Solve for x
x = 1,870,462,523,061,360,373,268,480/628,743,118,599 - Step 6: Final answer
x = 2,974,923,252,009.86
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.