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Finding the Third Proportional to 730,032,304 and 1,520,453,024

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Solution

The third proportional to 730,032,304 and 1,520,453,024 is: 3,166,678,221.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,032,304 : 1,520,453,024 = 1,520,453,024 : x
  2. Step 2: Convert to fraction form
    730,032,304/1,520,453,024 = 1,520,453,024/x
  3. Step 3: Cross multiply
    730,032,304x = 1,520,453,024 × 1,520,453,024
  4. Step 4: Simplify right side
    730,032,304x = 2,311,777,398,190,744,576
  5. Step 5: Solve for x
    x = 2,311,777,398,190,744,576/730,032,304
  6. Step 6: Final answer
    x = 3,166,678,221.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.