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Finding the Third Proportional to 524,899,011 and 807,924,136.50

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Solution

The third proportional to 524,899,011 and 807,924,136.50 is: 1,243,556,182.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,899,011 : 807,924,136.50 = 807,924,136.50 : x
  2. Step 2: Convert to fraction form
    524,899,011/807,924,136.50 = 807,924,136.50/x
  3. Step 3: Cross multiply
    524,899,011x = 807,924,136.50 × 807,924,136.50
  4. Step 4: Simplify right side
    524,899,011x = 652,741,410,339,270,656
  5. Step 5: Solve for x
    x = 652,741,410,339,270,656/524,899,011
  6. Step 6: Final answer
    x = 1,243,556,182.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.