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Finding the Third Proportional to 30,024,435 and 65,554,359

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Solution

The third proportional to 30,024,435 and 65,554,359 is: 143,129,220.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,024,435 : 65,554,359 = 65,554,359 : x
  2. Step 2: Convert to fraction form
    30,024,435/65,554,359 = 65,554,359/x
  3. Step 3: Cross multiply
    30,024,435x = 65,554,359 × 65,554,359
  4. Step 4: Simplify right side
    30,024,435x = 4,297,373,983,900,881
  5. Step 5: Solve for x
    x = 4,297,373,983,900,881/30,024,435
  6. Step 6: Final answer
    x = 143,129,220.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.