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Finding the Third Proportional to 349,698,961.13 and 765,101,463.75

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Solution

The third proportional to 349,698,961.13 and 765,101,463.75 is: 1,673,954,786.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,698,961.13 : 765,101,463.75 = 765,101,463.75 : x
  2. Step 2: Convert to fraction form
    349,698,961.13/765,101,463.75 = 765,101,463.75/x
  3. Step 3: Cross multiply
    349,698,961.13x = 765,101,463.75 × 765,101,463.75
  4. Step 4: Simplify right side
    349,698,961.13x = 585,380,249,832,392,576
  5. Step 5: Solve for x
    x = 585,380,249,832,392,576/349,698,961.13
  6. Step 6: Final answer
    x = 1,673,954,786.57

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.