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Finding the Third Proportional to 3,311,156,410 and 7,210,178,420

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Solution

The third proportional to 3,311,156,410 and 7,210,178,420 is: 15,700,458,211.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311,156,410 : 7,210,178,420 = 7,210,178,420 : x
  2. Step 2: Convert to fraction form
    3,311,156,410/7,210,178,420 = 7,210,178,420/x
  3. Step 3: Cross multiply
    3,311,156,410x = 7,210,178,420 × 7,210,178,420
  4. Step 4: Simplify right side
    3,311,156,410x = 51,986,672,848,233,693,184
  5. Step 5: Solve for x
    x = 51,986,672,848,233,693,184/3,311,156,410
  6. Step 6: Final answer
    x = 15,700,458,211.89

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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.