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Finding the Third Proportional to 1,415,525,363 and 2,123,288,226

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Solution

The third proportional to 1,415,525,363 and 2,123,288,226 is: 3,184,932,611.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415,525,363 : 2,123,288,226 = 2,123,288,226 : x
  2. Step 2: Convert to fraction form
    1,415,525,363/2,123,288,226 = 2,123,288,226/x
  3. Step 3: Cross multiply
    1,415,525,363x = 2,123,288,226 × 2,123,288,226
  4. Step 4: Simplify right side
    1,415,525,363x = 4,508,352,890,670,226,944
  5. Step 5: Solve for x
    x = 4,508,352,890,670,226,944/1,415,525,363
  6. Step 6: Final answer
    x = 3,184,932,611.25

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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.