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Finding the Third Proportional to 1,753,677,263 and 3,816,073,390

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Solution

The third proportional to 1,753,677,263 and 3,816,073,390 is: 8,303,931,644.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753,677,263 : 3,816,073,390 = 3,816,073,390 : x
  2. Step 2: Convert to fraction form
    1,753,677,263/3,816,073,390 = 3,816,073,390/x
  3. Step 3: Cross multiply
    1,753,677,263x = 3,816,073,390 × 3,816,073,390
  4. Step 4: Simplify right side
    1,753,677,263x = 14,562,416,117,866,092,544
  5. Step 5: Solve for x
    x = 14,562,416,117,866,092,544/1,753,677,263
  6. Step 6: Final answer
    x = 8,303,931,644.16

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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.