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Finding the Third Proportional to 904,308,642 and 1,958,885,382

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Solution

The third proportional to 904,308,642 and 1,958,885,382 is: 4,243,276,865.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,308,642 : 1,958,885,382 = 1,958,885,382 : x
  2. Step 2: Convert to fraction form
    904,308,642/1,958,885,382 = 1,958,885,382/x
  3. Step 3: Cross multiply
    904,308,642x = 1,958,885,382 × 1,958,885,382
  4. Step 4: Simplify right side
    904,308,642x = 3,837,231,939,813,285,888
  5. Step 5: Solve for x
    x = 3,837,231,939,813,285,888/904,308,642
  6. Step 6: Final answer
    x = 4,243,276,865.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.