Finding the Third Proportional to 9,945,464,193,386 and 21,642,201,423,498
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Solution
The third proportional to 9,945,464,193,386 and 21,642,201,423,498 is: 47,095,326,406,860.66
Step by Step Solution
- Step 1: Write the proportion equation
9,945,464,193,386 : 21,642,201,423,498 = 21,642,201,423,498 : x - Step 2: Convert to fraction form
9,945,464,193,386/21,642,201,423,498 = 21,642,201,423,498/x - Step 3: Cross multiply
9,945,464,193,386x = 21,642,201,423,498 × 21,642,201,423,498 - Step 4: Simplify right side
9,945,464,193,386x = 468,384,882,455,258,841,181,323,264 - Step 5: Solve for x
x = 468,384,882,455,258,841,181,323,264/9,945,464,193,386 - Step 6: Final answer
x = 47,095,326,406,860.66
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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.