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Finding the Third Proportional to 295,781,742 and 638,329,644

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Solution

The third proportional to 295,781,742 and 638,329,644 is: 1,377,585,822.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,781,742 : 638,329,644 = 638,329,644 : x
  2. Step 2: Convert to fraction form
    295,781,742/638,329,644 = 638,329,644/x
  3. Step 3: Cross multiply
    295,781,742x = 638,329,644 × 638,329,644
  4. Step 4: Simplify right side
    295,781,742x = 407,464,734,409,166,720
  5. Step 5: Solve for x
    x = 407,464,734,409,166,720/295,781,742
  6. Step 6: Final answer
    x = 1,377,585,822.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.