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Finding the Third Proportional to 1,103,277,816 and 1,645,349,312

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Solution

The third proportional to 1,103,277,816 and 1,645,349,312 is: 2,453,755,816.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103,277,816 : 1,645,349,312 = 1,645,349,312 : x
  2. Step 2: Convert to fraction form
    1,103,277,816/1,645,349,312 = 1,645,349,312/x
  3. Step 3: Cross multiply
    1,103,277,816x = 1,645,349,312 × 1,645,349,312
  4. Step 4: Simplify right side
    1,103,277,816x = 2,707,174,358,498,873,344
  5. Step 5: Solve for x
    x = 2,707,174,358,498,873,344/1,103,277,816
  6. Step 6: Final answer
    x = 2,453,755,816.75

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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.