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Finding the Third Proportional to 1,533,324,528 and 2,503,515,816

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Solution

The third proportional to 1,533,324,528 and 2,503,515,816 is: 4,087,583,108.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533,324,528 : 2,503,515,816 = 2,503,515,816 : x
  2. Step 2: Convert to fraction form
    1,533,324,528/2,503,515,816 = 2,503,515,816/x
  3. Step 3: Cross multiply
    1,533,324,528x = 2,503,515,816 × 2,503,515,816
  4. Step 4: Simplify right side
    1,533,324,528x = 6,267,591,440,962,146,304
  5. Step 5: Solve for x
    x = 6,267,591,440,962,146,304/1,533,324,528
  6. Step 6: Final answer
    x = 4,087,583,108.80

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.