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Finding the Third Proportional to 2,716,824,202 and 4,078,111,865

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Solution

The third proportional to 2,716,824,202 and 4,078,111,865 is: 6,121,484,184.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716,824,202 : 4,078,111,865 = 4,078,111,865 : x
  2. Step 2: Convert to fraction form
    2,716,824,202/4,078,111,865 = 4,078,111,865/x
  3. Step 3: Cross multiply
    2,716,824,202x = 4,078,111,865 × 4,078,111,865
  4. Step 4: Simplify right side
    2,716,824,202x = 16,630,996,383,453,777,920
  5. Step 5: Solve for x
    x = 16,630,996,383,453,777,920/2,716,824,202
  6. Step 6: Final answer
    x = 6,121,484,184.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.