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Finding the Third Proportional to 768,747,037 and 1,148,083,018

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Solution

The third proportional to 768,747,037 and 1,148,083,018 is: 1,714,601,231.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,747,037 : 1,148,083,018 = 1,148,083,018 : x
  2. Step 2: Convert to fraction form
    768,747,037/1,148,083,018 = 1,148,083,018/x
  3. Step 3: Cross multiply
    768,747,037x = 1,148,083,018 × 1,148,083,018
  4. Step 4: Simplify right side
    768,747,037x = 1,318,094,616,219,988,224
  5. Step 5: Solve for x
    x = 1,318,094,616,219,988,224/768,747,037
  6. Step 6: Final answer
    x = 1,714,601,231.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.