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Finding the Third Proportional to 723,755,797 and 1,580,239,604

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Solution

The third proportional to 723,755,797 and 1,580,239,604 is: 3,450,275,930.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,755,797 : 1,580,239,604 = 1,580,239,604 : x
  2. Step 2: Convert to fraction form
    723,755,797/1,580,239,604 = 1,580,239,604/x
  3. Step 3: Cross multiply
    723,755,797x = 1,580,239,604 × 1,580,239,604
  4. Step 4: Simplify right side
    723,755,797x = 2,497,157,206,050,076,672
  5. Step 5: Solve for x
    x = 2,497,157,206,050,076,672/723,755,797
  6. Step 6: Final answer
    x = 3,450,275,930.64

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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.