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Finding the Third Proportional to 2,965,697,437.50 and 6,390,679,995

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Solution

The third proportional to 2,965,697,437.50 and 6,390,679,995 is: 13,771,057,789.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965,697,437.50 : 6,390,679,995 = 6,390,679,995 : x
  2. Step 2: Convert to fraction form
    2,965,697,437.50/6,390,679,995 = 6,390,679,995/x
  3. Step 3: Cross multiply
    2,965,697,437.50x = 6,390,679,995 × 6,390,679,995
  4. Step 4: Simplify right side
    2,965,697,437.50x = 40,840,790,798,493,196,288
  5. Step 5: Solve for x
    x = 40,840,790,798,493,196,288/2,965,697,437.50
  6. Step 6: Final answer
    x = 13,771,057,789.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.