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Finding the Third Proportional to 53,793,464,838 and 117,720,439,284

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Solution

The third proportional to 53,793,464,838 and 117,720,439,284 is: 257,616,828,864.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,793,464,838 : 117,720,439,284 = 117,720,439,284 : x
  2. Step 2: Convert to fraction form
    53,793,464,838/117,720,439,284 = 117,720,439,284/x
  3. Step 3: Cross multiply
    53,793,464,838x = 117,720,439,284 × 117,720,439,284
  4. Step 4: Simplify right side
    53,793,464,838x = 13,858,101,825,217,931,247,616
  5. Step 5: Solve for x
    x = 13,858,101,825,217,931,247,616/53,793,464,838
  6. Step 6: Final answer
    x = 257,616,828,864.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.