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Finding the Third Proportional to 3,537,436,968 and 7,571,799,720

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Solution

The third proportional to 3,537,436,968 and 7,571,799,720 is: 16,207,257,265.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537,436,968 : 7,571,799,720 = 7,571,799,720 : x
  2. Step 2: Convert to fraction form
    3,537,436,968/7,571,799,720 = 7,571,799,720/x
  3. Step 3: Cross multiply
    3,537,436,968x = 7,571,799,720 × 7,571,799,720
  4. Step 4: Simplify right side
    3,537,436,968x = 57,332,150,999,792,074,752
  5. Step 5: Solve for x
    x = 57,332,150,999,792,074,752/3,537,436,968
  6. Step 6: Final answer
    x = 16,207,257,265.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.