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Finding the Third Proportional to 32,781,986,528,994 and 72,893,557,351,449

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Solution

The third proportional to 32,781,986,528,994 and 72,893,557,351,449 is: 162,085,073,723,323.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,781,986,528,994 : 72,893,557,351,449 = 72,893,557,351,449 : x
  2. Step 2: Convert to fraction form
    32,781,986,528,994/72,893,557,351,449 = 72,893,557,351,449/x
  3. Step 3: Cross multiply
    32,781,986,528,994x = 72,893,557,351,449 × 72,893,557,351,449
  4. Step 4: Simplify right side
    32,781,986,528,994x = 5,313,470,703,348,984,605,076,094,976
  5. Step 5: Solve for x
    x = 5,313,470,703,348,984,605,076,094,976/32,781,986,528,994
  6. Step 6: Final answer
    x = 162,085,073,723,323.31

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.