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Finding the Third Proportional to 4,534,624,879,577 and 9,993,550,750,261

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Solution

The third proportional to 4,534,624,879,577 and 9,993,550,750,261 is: 22,024,105,466,328.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534,624,879,577 : 9,993,550,750,261 = 9,993,550,750,261 : x
  2. Step 2: Convert to fraction form
    4,534,624,879,577/9,993,550,750,261 = 9,993,550,750,261/x
  3. Step 3: Cross multiply
    4,534,624,879,577x = 9,993,550,750,261 × 9,993,550,750,261
  4. Step 4: Simplify right side
    4,534,624,879,577x = 99,871,056,598,042,197,064,941,568
  5. Step 5: Solve for x
    x = 99,871,056,598,042,197,064,941,568/4,534,624,879,577
  6. Step 6: Final answer
    x = 22,024,105,466,328.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.