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Finding the Third Proportional to 1,769,156,332 and 3,839,041,708

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Solution

The third proportional to 1,769,156,332 and 3,839,041,708 is: 8,330,660,761.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769,156,332 : 3,839,041,708 = 3,839,041,708 : x
  2. Step 2: Convert to fraction form
    1,769,156,332/3,839,041,708 = 3,839,041,708/x
  3. Step 3: Cross multiply
    1,769,156,332x = 3,839,041,708 × 3,839,041,708
  4. Step 4: Simplify right side
    1,769,156,332x = 14,738,241,235,763,556,352
  5. Step 5: Solve for x
    x = 14,738,241,235,763,556,352/1,769,156,332
  6. Step 6: Final answer
    x = 8,330,660,761.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.