Finding the Third Proportional to 380,195,652,569 and 805,719,502,352
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Solution
The third proportional to 380,195,652,569 and 805,719,502,352 is: 1,707,499,578,398.09
Step by Step Solution
- Step 1: Write the proportion equation
380,195,652,569 : 805,719,502,352 = 805,719,502,352 : x - Step 2: Convert to fraction form
380,195,652,569/805,719,502,352 = 805,719,502,352/x - Step 3: Cross multiply
380,195,652,569x = 805,719,502,352 × 805,719,502,352 - Step 4: Simplify right side
380,195,652,569x = 649,183,916,470,354,579,554,304 - Step 5: Solve for x
x = 649,183,916,470,354,579,554,304/380,195,652,569 - Step 6: Final answer
x = 1,707,499,578,398.09
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.