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Finding the Third Proportional to 824,614,562 and 1,767,270,208

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Solution

The third proportional to 824,614,562 and 1,767,270,208 is: 3,787,519,808.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,614,562 : 1,767,270,208 = 1,767,270,208 : x
  2. Step 2: Convert to fraction form
    824,614,562/1,767,270,208 = 1,767,270,208/x
  3. Step 3: Cross multiply
    824,614,562x = 1,767,270,208 × 1,767,270,208
  4. Step 4: Simplify right side
    824,614,562x = 3,123,243,988,084,363,264
  5. Step 5: Solve for x
    x = 3,123,243,988,084,363,264/824,614,562
  6. Step 6: Final answer
    x = 3,787,519,808.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.