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Finding the Third Proportional to 2,095,341,148 and 4,562,690,997.50

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Solution

The third proportional to 2,095,341,148 and 4,562,690,997.50 is: 9,935,446,148.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095,341,148 : 4,562,690,997.50 = 4,562,690,997.50 : x
  2. Step 2: Convert to fraction form
    2,095,341,148/4,562,690,997.50 = 4,562,690,997.50/x
  3. Step 3: Cross multiply
    2,095,341,148x = 4,562,690,997.50 × 4,562,690,997.50
  4. Step 4: Simplify right side
    2,095,341,148x = 20,818,149,138,667,544,576
  5. Step 5: Solve for x
    x = 20,818,149,138,667,544,576/2,095,341,148
  6. Step 6: Final answer
    x = 9,935,446,148.49

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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.