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Finding the Third Proportional to 1,745,924,698 and 3,782,448,594

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Solution

The third proportional to 1,745,924,698 and 3,782,448,594 is: 8,194,464,161.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745,924,698 : 3,782,448,594 = 3,782,448,594 : x
  2. Step 2: Convert to fraction form
    1,745,924,698/3,782,448,594 = 3,782,448,594/x
  3. Step 3: Cross multiply
    1,745,924,698x = 3,782,448,594 × 3,782,448,594
  4. Step 4: Simplify right side
    1,745,924,698x = 14,306,917,366,252,576,768
  5. Step 5: Solve for x
    x = 14,306,917,366,252,576,768/1,745,924,698
  6. Step 6: Final answer
    x = 8,194,464,161.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.