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Finding the Third Proportional to 377,537,533 and 820,429,854

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Solution

The third proportional to 377,537,533 and 820,429,854 is: 1,782,882,724.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,537,533 : 820,429,854 = 820,429,854 : x
  2. Step 2: Convert to fraction form
    377,537,533/820,429,854 = 820,429,854/x
  3. Step 3: Cross multiply
    377,537,533x = 820,429,854 × 820,429,854
  4. Step 4: Simplify right side
    377,537,533x = 673,105,145,334,461,312
  5. Step 5: Solve for x
    x = 673,105,145,334,461,312/377,537,533
  6. Step 6: Final answer
    x = 1,782,882,724.23

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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.