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Finding the Third Proportional to 667,210,596 and 1,389,645,818

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Solution

The third proportional to 667,210,596 and 1,389,645,818 is: 2,894,311,797.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,210,596 : 1,389,645,818 = 1,389,645,818 : x
  2. Step 2: Convert to fraction form
    667,210,596/1,389,645,818 = 1,389,645,818/x
  3. Step 3: Cross multiply
    667,210,596x = 1,389,645,818 × 1,389,645,818
  4. Step 4: Simplify right side
    667,210,596x = 1,931,115,499,484,889,088
  5. Step 5: Solve for x
    x = 1,931,115,499,484,889,088/667,210,596
  6. Step 6: Final answer
    x = 2,894,311,797.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.