Finding the Third Proportional to 387,878,178,374 and 906,258,442,535
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Solution
The third proportional to 387,878,178,374 and 906,258,442,535 is: 2,117,428,642,438.47
Step by Step Solution
- Step 1: Write the proportion equation
387,878,178,374 : 906,258,442,535 = 906,258,442,535 : x - Step 2: Convert to fraction form
387,878,178,374/906,258,442,535 = 906,258,442,535/x - Step 3: Cross multiply
387,878,178,374x = 906,258,442,535 × 906,258,442,535 - Step 4: Simplify right side
387,878,178,374x = 821,304,364,665,963,936,743,424 - Step 5: Solve for x
x = 821,304,364,665,963,936,743,424/387,878,178,374 - Step 6: Final answer
x = 2,117,428,642,438.47
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Why These Related Problems?
These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.