Finding the Third Proportional to 9,945,464,193,388 and 21,642,201,423,502
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Solution
The third proportional to 9,945,464,193,388 and 21,642,201,423,502 is: 47,095,326,406,868.60
Step by Step Solution
- Step 1: Write the proportion equation
9,945,464,193,388 : 21,642,201,423,502 = 21,642,201,423,502 : x - Step 2: Convert to fraction form
9,945,464,193,388/21,642,201,423,502 = 21,642,201,423,502/x - Step 3: Cross multiply
9,945,464,193,388x = 21,642,201,423,502 × 21,642,201,423,502 - Step 4: Simplify right side
9,945,464,193,388x = 468,384,882,455,432,014,262,697,984 - Step 5: Solve for x
x = 468,384,882,455,432,014,262,697,984/9,945,464,193,388 - Step 6: Final answer
x = 47,095,326,406,868.60
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.