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Finding the Third Proportional to 53,793,464,854 and 117,720,439,312

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Solution

The third proportional to 53,793,464,854 and 117,720,439,312 is: 257,616,828,910.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,793,464,854 : 117,720,439,312 = 117,720,439,312 : x
  2. Step 2: Convert to fraction form
    53,793,464,854/117,720,439,312 = 117,720,439,312/x
  3. Step 3: Cross multiply
    53,793,464,854x = 117,720,439,312 × 117,720,439,312
  4. Step 4: Simplify right side
    53,793,464,854x = 13,858,101,831,810,274,033,664
  5. Step 5: Solve for x
    x = 13,858,101,831,810,274,033,664/53,793,464,854
  6. Step 6: Final answer
    x = 257,616,828,910.77

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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.