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Finding the Third Proportional to 709,751,307 and 1,544,481,024

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Solution

The third proportional to 709,751,307 and 1,544,481,024 is: 3,360,926,017.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,751,307 : 1,544,481,024 = 1,544,481,024 : x
  2. Step 2: Convert to fraction form
    709,751,307/1,544,481,024 = 1,544,481,024/x
  3. Step 3: Cross multiply
    709,751,307x = 1,544,481,024 × 1,544,481,024
  4. Step 4: Simplify right side
    709,751,307x = 2,385,421,633,496,088,576
  5. Step 5: Solve for x
    x = 2,385,421,633,496,088,576/709,751,307
  6. Step 6: Final answer
    x = 3,360,926,017.28

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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.