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Finding the Third Proportional to 244,885,738 and 532,816,334

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Solution

The third proportional to 244,885,738 and 532,816,334 is: 1,159,288,605.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,885,738 : 532,816,334 = 532,816,334 : x
  2. Step 2: Convert to fraction form
    244,885,738/532,816,334 = 532,816,334/x
  3. Step 3: Cross multiply
    244,885,738x = 532,816,334 × 532,816,334
  4. Step 4: Simplify right side
    244,885,738x = 283,893,245,777,199,552
  5. Step 5: Solve for x
    x = 283,893,245,777,199,552/244,885,738
  6. Step 6: Final answer
    x = 1,159,288,605.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.