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Finding the Third Proportional to 2,080,381,724 and 2,852,708,808

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Solution

The third proportional to 2,080,381,724 and 2,852,708,808 is: 3,911,756,890.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080,381,724 : 2,852,708,808 = 2,852,708,808 : x
  2. Step 2: Convert to fraction form
    2,080,381,724/2,852,708,808 = 2,852,708,808/x
  3. Step 3: Cross multiply
    2,080,381,724x = 2,852,708,808 × 2,852,708,808
  4. Step 4: Simplify right side
    2,080,381,724x = 8,137,947,543,240,780,800
  5. Step 5: Solve for x
    x = 8,137,947,543,240,780,800/2,080,381,724
  6. Step 6: Final answer
    x = 3,911,756,890.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.