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Finding the Third Proportional to 1,266,031,516 and 2,699,288,504

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Solution

The third proportional to 1,266,031,516 and 2,699,288,504 is: 5,755,116,152.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266,031,516 : 2,699,288,504 = 2,699,288,504 : x
  2. Step 2: Convert to fraction form
    1,266,031,516/2,699,288,504 = 2,699,288,504/x
  3. Step 3: Cross multiply
    1,266,031,516x = 2,699,288,504 × 2,699,288,504
  4. Step 4: Simplify right side
    1,266,031,516x = 7,286,158,427,826,557,952
  5. Step 5: Solve for x
    x = 7,286,158,427,826,557,952/1,266,031,516
  6. Step 6: Final answer
    x = 5,755,116,152.91

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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.