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Finding the Third Proportional to 313,572,747 and 487,500,826.50

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Solution

The third proportional to 313,572,747 and 487,500,826.50 is: 757,900,863.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,572,747 : 487,500,826.50 = 487,500,826.50 : x
  2. Step 2: Convert to fraction form
    313,572,747/487,500,826.50 = 487,500,826.50/x
  3. Step 3: Cross multiply
    313,572,747x = 487,500,826.50 × 487,500,826.50
  4. Step 4: Simplify right side
    313,572,747x = 237,657,055,838,183,104
  5. Step 5: Solve for x
    x = 237,657,055,838,183,104/313,572,747
  6. Step 6: Final answer
    x = 757,900,863.87

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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.