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Finding the Third Proportional to 599,032,062,752 and 1,218,984,869,440

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Solution

The third proportional to 599,032,062,752 and 1,218,984,869,440 is: 2,480,541,867,988.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,032,062,752 : 1,218,984,869,440 = 1,218,984,869,440 : x
  2. Step 2: Convert to fraction form
    599,032,062,752/1,218,984,869,440 = 1,218,984,869,440/x
  3. Step 3: Cross multiply
    599,032,062,752x = 1,218,984,869,440 × 1,218,984,869,440
  4. Step 4: Simplify right side
    599,032,062,752x = 1,485,924,111,923,653,837,324,288
  5. Step 5: Solve for x
    x = 1,485,924,111,923,653,837,324,288/599,032,062,752
  6. Step 6: Final answer
    x = 2,480,541,867,988.17

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.