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Finding the Third Proportional to 4,699,349,385.75 and 7,049,024,916.75

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Solution

The third proportional to 4,699,349,385.75 and 7,049,024,916.75 is: 10,573,538,632.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699,349,385.75 : 7,049,024,916.75 = 7,049,024,916.75 : x
  2. Step 2: Convert to fraction form
    4,699,349,385.75/7,049,024,916.75 = 7,049,024,916.75/x
  3. Step 3: Cross multiply
    4,699,349,385.75x = 7,049,024,916.75 × 7,049,024,916.75
  4. Step 4: Simplify right side
    4,699,349,385.75x = 49,688,752,276,962,344,960
  5. Step 5: Solve for x
    x = 49,688,752,276,962,344,960/4,699,349,385.75
  6. Step 6: Final answer
    x = 10,573,538,632.31

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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.