Finding the Third Proportional to 922,106,748 and 1,416,468,755.25
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Solution
The third proportional to 922,106,748 and 1,416,468,755.25 is: 2,175,869,267.79
Step by Step Solution
- Step 1: Write the proportion equation
922,106,748 : 1,416,468,755.25 = 1,416,468,755.25 : x - Step 2: Convert to fraction form
922,106,748/1,416,468,755.25 = 1,416,468,755.25/x - Step 3: Cross multiply
922,106,748x = 1,416,468,755.25 × 1,416,468,755.25 - Step 4: Simplify right side
922,106,748x = 2,006,383,734,599,484,416 - Step 5: Solve for x
x = 2,006,383,734,599,484,416/922,106,748 - Step 6: Final answer
x = 2,175,869,267.79
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.