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Finding the Third Proportional to 823,204,369,746 and 1,783,168,113,060

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Solution

The third proportional to 823,204,369,746 and 1,783,168,113,060 is: 3,862,574,879,692.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,204,369,746 : 1,783,168,113,060 = 1,783,168,113,060 : x
  2. Step 2: Convert to fraction form
    823,204,369,746/1,783,168,113,060 = 1,783,168,113,060/x
  3. Step 3: Cross multiply
    823,204,369,746x = 1,783,168,113,060 × 1,783,168,113,060
  4. Step 4: Simplify right side
    823,204,369,746x = 3,179,688,519,433,960,944,566,272
  5. Step 5: Solve for x
    x = 3,179,688,519,433,960,944,566,272/823,204,369,746
  6. Step 6: Final answer
    x = 3,862,574,879,692.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.