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Finding the Third Proportional to 295,781,766 and 638,329,692

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Solution

The third proportional to 295,781,766 and 638,329,692 is: 1,377,585,918.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,781,766 : 638,329,692 = 638,329,692 : x
  2. Step 2: Convert to fraction form
    295,781,766/638,329,692 = 638,329,692/x
  3. Step 3: Cross multiply
    295,781,766x = 638,329,692 × 638,329,692
  4. Step 4: Simplify right side
    295,781,766x = 407,464,795,688,814,848
  5. Step 5: Solve for x
    x = 407,464,795,688,814,848/295,781,766
  6. Step 6: Final answer
    x = 1,377,585,918.16

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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.