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Finding the Third Proportional to 19,730,998,017 and 46,040,586,367.50

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Solution

The third proportional to 19,730,998,017 and 46,040,586,367.50 is: 107,431,747,306.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,730,998,017 : 46,040,586,367.50 = 46,040,586,367.50 : x
  2. Step 2: Convert to fraction form
    19,730,998,017/46,040,586,367.50 = 46,040,586,367.50/x
  3. Step 3: Cross multiply
    19,730,998,017x = 46,040,586,367.50 × 46,040,586,367.50
  4. Step 4: Simplify right side
    19,730,998,017x = 2,119,735,593,063,226,802,176
  5. Step 5: Solve for x
    x = 2,119,735,593,063,226,802,176/19,730,998,017
  6. Step 6: Final answer
    x = 107,431,747,306.29

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.