Finding the Third Proportional to 420,074,234,840 and 903,860,484,316
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Solution
The third proportional to 420,074,234,840 and 903,860,484,316 is: 1,944,808,101,404.09
Step by Step Solution
- Step 1: Write the proportion equation
420,074,234,840 : 903,860,484,316 = 903,860,484,316 : x - Step 2: Convert to fraction form
420,074,234,840/903,860,484,316 = 903,860,484,316/x - Step 3: Cross multiply
420,074,234,840x = 903,860,484,316 × 903,860,484,316 - Step 4: Simplify right side
420,074,234,840x = 816,963,775,107,954,135,531,520 - Step 5: Solve for x
x = 816,963,775,107,954,135,531,520/420,074,234,840 - Step 6: Final answer
x = 1,944,808,101,404.09
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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.