Finding the Third Proportional to 959,746,697,406 and 2,063,931,972,732
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Solution
The third proportional to 959,746,697,406 and 2,063,931,972,732 is: 4,438,478,610,636.35
Step by Step Solution
- Step 1: Write the proportion equation
959,746,697,406 : 2,063,931,972,732 = 2,063,931,972,732 : x - Step 2: Convert to fraction form
959,746,697,406/2,063,931,972,732 = 2,063,931,972,732/x - Step 3: Cross multiply
959,746,697,406x = 2,063,931,972,732 × 2,063,931,972,732 - Step 4: Simplify right side
959,746,697,406x = 4,259,815,188,065,405,221,470,208 - Step 5: Solve for x
x = 4,259,815,188,065,405,221,470,208/959,746,697,406 - Step 6: Final answer
x = 4,438,478,610,636.35
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.