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Finding the Third Proportional to 53,793,464,829.75 and 117,720,439,276.50

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Solution

The third proportional to 53,793,464,829.75 and 117,720,439,276.50 is: 257,616,828,871.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,793,464,829.75 : 117,720,439,276.50 = 117,720,439,276.50 : x
  2. Step 2: Convert to fraction form
    53,793,464,829.75/117,720,439,276.50 = 117,720,439,276.50/x
  3. Step 3: Cross multiply
    53,793,464,829.75x = 117,720,439,276.50 × 117,720,439,276.50
  4. Step 4: Simplify right side
    53,793,464,829.75x = 13,858,101,823,452,122,972,160
  5. Step 5: Solve for x
    x = 13,858,101,823,452,122,972,160/53,793,464,829.75
  6. Step 6: Final answer
    x = 257,616,828,871.53

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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.