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Finding the Third Proportional to 53,793,464,834 and 117,720,439,276

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Solution

The third proportional to 53,793,464,834 and 117,720,439,276 is: 257,616,828,848.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,793,464,834 : 117,720,439,276 = 117,720,439,276 : x
  2. Step 2: Convert to fraction form
    53,793,464,834/117,720,439,276 = 117,720,439,276/x
  3. Step 3: Cross multiply
    53,793,464,834x = 117,720,439,276 × 117,720,439,276
  4. Step 4: Simplify right side
    53,793,464,834x = 13,858,101,823,334,403,538,944
  5. Step 5: Solve for x
    x = 13,858,101,823,334,403,538,944/53,793,464,834
  6. Step 6: Final answer
    x = 257,616,828,848.98

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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.