Finding the Third Proportional to 404,893,138,184 and 870,721,301,392
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Solution
The third proportional to 404,893,138,184 and 870,721,301,392 is: 1,872,483,164,565.86
Step by Step Solution
- Step 1: Write the proportion equation
404,893,138,184 : 870,721,301,392 = 870,721,301,392 : x - Step 2: Convert to fraction form
404,893,138,184/870,721,301,392 = 870,721,301,392/x - Step 3: Cross multiply
404,893,138,184x = 870,721,301,392 × 870,721,301,392 - Step 4: Simplify right side
404,893,138,184x = 758,155,584,697,778,034,442,240 - Step 5: Solve for x
x = 758,155,584,697,778,034,442,240/404,893,138,184 - Step 6: Final answer
x = 1,872,483,164,565.86
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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.