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Finding the Third Proportional to 26,767,706,048 and 40,045,430,084.25

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Solution

The third proportional to 26,767,706,048 and 40,045,430,084.25 is: 59,909,372,426.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,767,706,048 : 40,045,430,084.25 = 40,045,430,084.25 : x
  2. Step 2: Convert to fraction form
    26,767,706,048/40,045,430,084.25 = 40,045,430,084.25/x
  3. Step 3: Cross multiply
    26,767,706,048x = 40,045,430,084.25 × 40,045,430,084.25
  4. Step 4: Simplify right side
    26,767,706,048x = 1,603,636,470,632,554,954,752
  5. Step 5: Solve for x
    x = 1,603,636,470,632,554,954,752/26,767,706,048
  6. Step 6: Final answer
    x = 59,909,372,426.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.