Finding the Third Proportional to 420,074,234,864 and 903,860,484,368
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Solution
The third proportional to 420,074,234,864 and 903,860,484,368 is: 1,944,808,101,516.75
Step by Step Solution
- Step 1: Write the proportion equation
420,074,234,864 : 903,860,484,368 = 903,860,484,368 : x - Step 2: Convert to fraction form
420,074,234,864/903,860,484,368 = 903,860,484,368/x - Step 3: Cross multiply
420,074,234,864x = 903,860,484,368 × 903,860,484,368 - Step 4: Simplify right side
420,074,234,864x = 816,963,775,201,955,534,602,240 - Step 5: Solve for x
x = 816,963,775,201,955,534,602,240/420,074,234,864 - Step 6: Final answer
x = 1,944,808,101,516.75
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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.