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Finding the Third Proportional to 409,852,752 and 885,145,008

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Solution

The third proportional to 409,852,752 and 885,145,008 is: 1,911,617,480.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,852,752 : 885,145,008 = 885,145,008 : x
  2. Step 2: Convert to fraction form
    409,852,752/885,145,008 = 885,145,008/x
  3. Step 3: Cross multiply
    409,852,752x = 885,145,008 × 885,145,008
  4. Step 4: Simplify right side
    409,852,752x = 783,481,685,187,320,064
  5. Step 5: Solve for x
    x = 783,481,685,187,320,064/409,852,752
  6. Step 6: Final answer
    x = 1,911,617,480.58

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.