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Finding the Third Proportional to 1,103,277,824 and 1,645,349,324

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Solution

The third proportional to 1,103,277,824 and 1,645,349,324 is: 2,453,755,834.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103,277,824 : 1,645,349,324 = 1,645,349,324 : x
  2. Step 2: Convert to fraction form
    1,103,277,824/1,645,349,324 = 1,645,349,324/x
  3. Step 3: Cross multiply
    1,103,277,824x = 1,645,349,324 × 1,645,349,324
  4. Step 4: Simplify right side
    1,103,277,824x = 2,707,174,397,987,256,832
  5. Step 5: Solve for x
    x = 2,707,174,397,987,256,832/1,103,277,824
  6. Step 6: Final answer
    x = 2,453,755,834.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.