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Finding the Third Proportional to 5,075,484,948 and 7,759,107,612

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Solution

The third proportional to 5,075,484,948 and 7,759,107,612 is: 11,861,674,608.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,075,484,948 : 7,759,107,612 = 7,759,107,612 : x
  2. Step 2: Convert to fraction form
    5,075,484,948/7,759,107,612 = 7,759,107,612/x
  3. Step 3: Cross multiply
    5,075,484,948x = 7,759,107,612 × 7,759,107,612
  4. Step 4: Simplify right side
    5,075,484,948x = 60,203,750,934,596,345,856
  5. Step 5: Solve for x
    x = 60,203,750,934,596,345,856/5,075,484,948
  6. Step 6: Final answer
    x = 11,861,674,608.71

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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.