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Finding the Third Proportional to 8,329,681,783 and 18,017,988,306

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Solution

The third proportional to 8,329,681,783 and 18,017,988,306 is: 38,974,826,536.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329,681,783 : 18,017,988,306 = 18,017,988,306 : x
  2. Step 2: Convert to fraction form
    8,329,681,783/18,017,988,306 = 18,017,988,306/x
  3. Step 3: Cross multiply
    8,329,681,783x = 18,017,988,306 × 18,017,988,306
  4. Step 4: Simplify right side
    8,329,681,783x = 324,647,902,595,152,740,352
  5. Step 5: Solve for x
    x = 324,647,902,595,152,740,352/8,329,681,783
  6. Step 6: Final answer
    x = 38,974,826,536.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.