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Finding the Third Proportional to 885,401,664 and 1,323,222,566

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Solution

The third proportional to 885,401,664 and 1,323,222,566 is: 1,977,540,849.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    885,401,664 : 1,323,222,566 = 1,323,222,566 : x
  2. Step 2: Convert to fraction form
    885,401,664/1,323,222,566 = 1,323,222,566/x
  3. Step 3: Cross multiply
    885,401,664x = 1,323,222,566 × 1,323,222,566
  4. Step 4: Simplify right side
    885,401,664x = 1,750,917,959,171,624,448
  5. Step 5: Solve for x
    x = 1,750,917,959,171,624,448/885,401,664
  6. Step 6: Final answer
    x = 1,977,540,849.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.