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Finding the Third Proportional to 236,833,220,304 and 517,065,594,432

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Solution

The third proportional to 236,833,220,304 and 517,065,594,432 is: 1,128,882,293,633.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,833,220,304 : 517,065,594,432 = 517,065,594,432 : x
  2. Step 2: Convert to fraction form
    236,833,220,304/517,065,594,432 = 517,065,594,432/x
  3. Step 3: Cross multiply
    236,833,220,304x = 517,065,594,432 × 517,065,594,432
  4. Step 4: Simplify right side
    236,833,220,304x = 267,356,828,945,317,504,221,184
  5. Step 5: Solve for x
    x = 267,356,828,945,317,504,221,184/236,833,220,304
  6. Step 6: Final answer
    x = 1,128,882,293,633.20

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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.