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Finding the Third Proportional to 420,619,911 and 973,658,983.50

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Solution

The third proportional to 420,619,911 and 973,658,983.50 is: 2,253,844,364.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,619,911 : 973,658,983.50 = 973,658,983.50 : x
  2. Step 2: Convert to fraction form
    420,619,911/973,658,983.50 = 973,658,983.50/x
  3. Step 3: Cross multiply
    420,619,911x = 973,658,983.50 × 973,658,983.50
  4. Step 4: Simplify right side
    420,619,911x = 948,011,816,150,253,312
  5. Step 5: Solve for x
    x = 948,011,816,150,253,312/420,619,911
  6. Step 6: Final answer
    x = 2,253,844,364.85

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.