Finding the Third Proportional to 454,705,298,409 and 978,375,051,717
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Solution
The third proportional to 454,705,298,409 and 978,375,051,717 is: 2,105,138,746,285.82
Step by Step Solution
- Step 1: Write the proportion equation
454,705,298,409 : 978,375,051,717 = 978,375,051,717 : x - Step 2: Convert to fraction form
454,705,298,409/978,375,051,717 = 978,375,051,717/x - Step 3: Cross multiply
454,705,298,409x = 978,375,051,717 × 978,375,051,717 - Step 4: Simplify right side
454,705,298,409x = 957,217,741,822,242,456,600,576 - Step 5: Solve for x
x = 957,217,741,822,242,456,600,576/454,705,298,409 - Step 6: Final answer
x = 2,105,138,746,285.82
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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.