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Finding the Third Proportional to 387,878,178,372 and 906,258,442,530

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Solution

The third proportional to 387,878,178,372 and 906,258,442,530 is: 2,117,428,642,426.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,878,178,372 : 906,258,442,530 = 906,258,442,530 : x
  2. Step 2: Convert to fraction form
    387,878,178,372/906,258,442,530 = 906,258,442,530/x
  3. Step 3: Cross multiply
    387,878,178,372x = 906,258,442,530 × 906,258,442,530
  4. Step 4: Simplify right side
    387,878,178,372x = 821,304,364,656,901,287,313,408
  5. Step 5: Solve for x
    x = 821,304,364,656,901,287,313,408/387,878,178,372
  6. Step 6: Final answer
    x = 2,117,428,642,426.02

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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.