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Finding the Third Proportional to 4,129,392,150 and 6,312,585,702

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Solution

The third proportional to 4,129,392,150 and 6,312,585,702 is: 9,650,025,184.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129,392,150 : 6,312,585,702 = 6,312,585,702 : x
  2. Step 2: Convert to fraction form
    4,129,392,150/6,312,585,702 = 6,312,585,702/x
  3. Step 3: Cross multiply
    4,129,392,150x = 6,312,585,702 × 6,312,585,702
  4. Step 4: Simplify right side
    4,129,392,150x = 39,848,738,245,094,834,176
  5. Step 5: Solve for x
    x = 39,848,738,245,094,834,176/4,129,392,150
  6. Step 6: Final answer
    x = 9,650,025,184.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.