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Finding the Third Proportional to 4,699,349,384.50 and 7,049,024,915

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Solution

The third proportional to 4,699,349,384.50 and 7,049,024,915 is: 10,573,538,629.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699,349,384.50 : 7,049,024,915 = 7,049,024,915 : x
  2. Step 2: Convert to fraction form
    4,699,349,384.50/7,049,024,915 = 7,049,024,915/x
  3. Step 3: Cross multiply
    4,699,349,384.50x = 7,049,024,915 × 7,049,024,915
  4. Step 4: Simplify right side
    4,699,349,384.50x = 49,688,752,252,290,760,704
  5. Step 5: Solve for x
    x = 49,688,752,252,290,760,704/4,699,349,384.50
  6. Step 6: Final answer
    x = 10,573,538,629.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.