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Finding the Third Proportional to 59,564,658,627 and 127,626,997,801

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Solution

The third proportional to 59,564,658,627 and 127,626,997,801 is: 273,461,662,387.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,564,658,627 : 127,626,997,801 = 127,626,997,801 : x
  2. Step 2: Convert to fraction form
    59,564,658,627/127,626,997,801 = 127,626,997,801/x
  3. Step 3: Cross multiply
    59,564,658,627x = 127,626,997,801 × 127,626,997,801
  4. Step 4: Simplify right side
    59,564,658,627x = 16,288,650,567,696,458,448,896
  5. Step 5: Solve for x
    x = 16,288,650,567,696,458,448,896/59,564,658,627
  6. Step 6: Final answer
    x = 273,461,662,387.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.