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Finding the Third Proportional to 747,738,693 and 1,636,197,714

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Solution

The third proportional to 747,738,693 and 1,636,197,714 is: 3,580,318,879.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,738,693 : 1,636,197,714 = 1,636,197,714 : x
  2. Step 2: Convert to fraction form
    747,738,693/1,636,197,714 = 1,636,197,714/x
  3. Step 3: Cross multiply
    747,738,693x = 1,636,197,714 × 1,636,197,714
  4. Step 4: Simplify right side
    747,738,693x = 2,677,142,959,298,825,728
  5. Step 5: Solve for x
    x = 2,677,142,959,298,825,728/747,738,693
  6. Step 6: Final answer
    x = 3,580,318,879.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.