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Finding the Third Proportional to 409,852,755 and 885,145,014

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Solution

The third proportional to 409,852,755 and 885,145,014 is: 1,911,617,492.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,852,755 : 885,145,014 = 885,145,014 : x
  2. Step 2: Convert to fraction form
    409,852,755/885,145,014 = 885,145,014/x
  3. Step 3: Cross multiply
    409,852,755x = 885,145,014 × 885,145,014
  4. Step 4: Simplify right side
    409,852,755x = 783,481,695,809,060,224
  5. Step 5: Solve for x
    x = 783,481,695,809,060,224/409,852,755
  6. Step 6: Final answer
    x = 1,911,617,492.50

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Why These Related Problems?

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