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Finding the Third Proportional to 4,031,247,765 and 6,259,115,947.50

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Solution

The third proportional to 4,031,247,765 and 6,259,115,947.50 is: 9,718,214,986.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,031,247,765 : 6,259,115,947.50 = 6,259,115,947.50 : x
  2. Step 2: Convert to fraction form
    4,031,247,765/6,259,115,947.50 = 6,259,115,947.50/x
  3. Step 3: Cross multiply
    4,031,247,765x = 6,259,115,947.50 × 6,259,115,947.50
  4. Step 4: Simplify right side
    4,031,247,765x = 39,176,532,444,248,825,856
  5. Step 5: Solve for x
    x = 39,176,532,444,248,825,856/4,031,247,765
  6. Step 6: Final answer
    x = 9,718,214,986.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.