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Finding the Third Proportional to 349,698,728.25 and 765,101,004.75

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Solution

The third proportional to 349,698,728.25 and 765,101,004.75 is: 1,673,953,892.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,698,728.25 : 765,101,004.75 = 765,101,004.75 : x
  2. Step 2: Convert to fraction form
    349,698,728.25/765,101,004.75 = 765,101,004.75/x
  3. Step 3: Cross multiply
    349,698,728.25x = 765,101,004.75 × 765,101,004.75
  4. Step 4: Simplify right side
    349,698,728.25x = 585,379,547,469,459,584
  5. Step 5: Solve for x
    x = 585,379,547,469,459,584/349,698,728.25
  6. Step 6: Final answer
    x = 1,673,953,892.82

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Why These Related Problems?

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