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Finding the Third Proportional to 377,537,531.34 and 820,429,849.41

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Solution

The third proportional to 377,537,531.34 and 820,429,849.41 is: 1,782,882,712.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,537,531.34 : 820,429,849.41 = 820,429,849.41 : x
  2. Step 2: Convert to fraction form
    377,537,531.34/820,429,849.41 = 820,429,849.41/x
  3. Step 3: Cross multiply
    377,537,531.34x = 820,429,849.41 × 820,429,849.41
  4. Step 4: Simplify right side
    377,537,531.34x = 673,105,137,796,762,112
  5. Step 5: Solve for x
    x = 673,105,137,796,762,112/377,537,531.34
  6. Step 6: Final answer
    x = 1,782,882,712.09

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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.