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Finding the Third Proportional to 1,266,031,692 and 2,699,288,856

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Solution

The third proportional to 1,266,031,692 and 2,699,288,856 is: 5,755,116,853.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266,031,692 : 2,699,288,856 = 2,699,288,856 : x
  2. Step 2: Convert to fraction form
    1,266,031,692/2,699,288,856 = 2,699,288,856/x
  3. Step 3: Cross multiply
    1,266,031,692x = 2,699,288,856 × 2,699,288,856
  4. Step 4: Simplify right side
    1,266,031,692x = 7,286,160,328,125,789,184
  5. Step 5: Solve for x
    x = 7,286,160,328,125,789,184/1,266,031,692
  6. Step 6: Final answer
    x = 5,755,116,853.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.