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Finding the Third Proportional to 295,781,744 and 638,329,648

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Solution

The third proportional to 295,781,744 and 638,329,648 is: 1,377,585,830.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,781,744 : 638,329,648 = 638,329,648 : x
  2. Step 2: Convert to fraction form
    295,781,744/638,329,648 = 638,329,648/x
  3. Step 3: Cross multiply
    295,781,744x = 638,329,648 × 638,329,648
  4. Step 4: Simplify right side
    295,781,744x = 407,464,739,515,803,904
  5. Step 5: Solve for x
    x = 407,464,739,515,803,904/295,781,744
  6. Step 6: Final answer
    x = 1,377,585,830.71

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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.