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Finding the Third Proportional to 764,509,136 and 1,180,560,888

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Solution

The third proportional to 764,509,136 and 1,180,560,888 is: 1,823,031,203.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,509,136 : 1,180,560,888 = 1,180,560,888 : x
  2. Step 2: Convert to fraction form
    764,509,136/1,180,560,888 = 1,180,560,888/x
  3. Step 3: Cross multiply
    764,509,136x = 1,180,560,888 × 1,180,560,888
  4. Step 4: Simplify right side
    764,509,136x = 1,393,724,010,275,348,480
  5. Step 5: Solve for x
    x = 1,393,724,010,275,348,480/764,509,136
  6. Step 6: Final answer
    x = 1,823,031,203.48

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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.