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Finding the Third Proportional to 236,833,220,305 and 517,065,594,434

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Solution

The third proportional to 236,833,220,305 and 517,065,594,434 is: 1,128,882,293,637.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,833,220,305 : 517,065,594,434 = 517,065,594,434 : x
  2. Step 2: Convert to fraction form
    236,833,220,305/517,065,594,434 = 517,065,594,434/x
  3. Step 3: Cross multiply
    236,833,220,305x = 517,065,594,434 × 517,065,594,434
  4. Step 4: Simplify right side
    236,833,220,305x = 267,356,828,947,385,765,855,232
  5. Step 5: Solve for x
    x = 267,356,828,947,385,765,855,232/236,833,220,305
  6. Step 6: Final answer
    x = 1,128,882,293,637.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.