Finding the Third Proportional to 1,687,956,405,246.80 and 2,277,449,513,625.30
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Solution
The third proportional to 1,687,956,405,246.80 and 2,277,449,513,625.30 is: 3,072,814,126,590.99
Step by Step Solution
- Step 1: Write the proportion equation
1,687,956,405,246.80 : 2,277,449,513,625.30 = 2,277,449,513,625.30 : x - Step 2: Convert to fraction form
1,687,956,405,246.80/2,277,449,513,625.30 = 2,277,449,513,625.30/x - Step 3: Cross multiply
1,687,956,405,246.80x = 2,277,449,513,625.30 × 2,277,449,513,625.30 - Step 4: Simplify right side
1,687,956,405,246.80x = 5,186,776,287,112,114,636,587,008 - Step 5: Solve for x
x = 5,186,776,287,112,114,636,587,008/1,687,956,405,246.80 - Step 6: Final answer
x = 3,072,814,126,590.99
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.