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Finding the Third Proportional to 48,268,225,838 and 75,335,232,783

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Solution

The third proportional to 48,268,225,838 and 75,335,232,783 is: 117,580,399,940.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,268,225,838 : 75,335,232,783 = 75,335,232,783 : x
  2. Step 2: Convert to fraction form
    48,268,225,838/75,335,232,783 = 75,335,232,783/x
  3. Step 3: Cross multiply
    48,268,225,838x = 75,335,232,783 × 75,335,232,783
  4. Step 4: Simplify right side
    48,268,225,838x = 5,675,397,298,468,798,070,784
  5. Step 5: Solve for x
    x = 5,675,397,298,468,798,070,784/48,268,225,838
  6. Step 6: Final answer
    x = 117,580,399,940.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.