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Finding the Third Proportional to 10,206,675,203 and 16,011,247,208

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Solution

The third proportional to 10,206,675,203 and 16,011,247,208 is: 25,116,899,681.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206,675,203 : 16,011,247,208 = 16,011,247,208 : x
  2. Step 2: Convert to fraction form
    10,206,675,203/16,011,247,208 = 16,011,247,208/x
  3. Step 3: Cross multiply
    10,206,675,203x = 16,011,247,208 × 16,011,247,208
  4. Step 4: Simplify right side
    10,206,675,203x = 256,360,037,155,687,792,640
  5. Step 5: Solve for x
    x = 256,360,037,155,687,792,640/10,206,675,203
  6. Step 6: Final answer
    x = 25,116,899,681.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.