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Finding the Third Proportional to 351,512,264.25 and 765,514,773

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Solution

The third proportional to 351,512,264.25 and 765,514,773 is: 1,667,119,265.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,512,264.25 : 765,514,773 = 765,514,773 : x
  2. Step 2: Convert to fraction form
    351,512,264.25/765,514,773 = 765,514,773/x
  3. Step 3: Cross multiply
    351,512,264.25x = 765,514,773 × 765,514,773
  4. Step 4: Simplify right side
    351,512,264.25x = 586,012,867,681,241,472
  5. Step 5: Solve for x
    x = 586,012,867,681,241,472/351,512,264.25
  6. Step 6: Final answer
    x = 1,667,119,265.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.