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Finding the Third Proportional to 1,525,099,168 and 2,285,599,776

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Solution

The third proportional to 1,525,099,168 and 2,285,599,776 is: 3,425,328,952.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525,099,168 : 2,285,599,776 = 2,285,599,776 : x
  2. Step 2: Convert to fraction form
    1,525,099,168/2,285,599,776 = 2,285,599,776/x
  3. Step 3: Cross multiply
    1,525,099,168x = 2,285,599,776 × 2,285,599,776
  4. Step 4: Simplify right side
    1,525,099,168x = 5,223,966,336,051,250,176
  5. Step 5: Solve for x
    x = 5,223,966,336,051,250,176/1,525,099,168
  6. Step 6: Final answer
    x = 3,425,328,952.81

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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.