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Finding the Third Proportional to 1,036,985,949 and 1,516,109,703.75

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Solution

The third proportional to 1,036,985,949 and 1,516,109,703.75 is: 2,216,605,380.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036,985,949 : 1,516,109,703.75 = 1,516,109,703.75 : x
  2. Step 2: Convert to fraction form
    1,036,985,949/1,516,109,703.75 = 1,516,109,703.75/x
  3. Step 3: Cross multiply
    1,036,985,949x = 1,516,109,703.75 × 1,516,109,703.75
  4. Step 4: Simplify right side
    1,036,985,949x = 2,298,588,633,804,912,640
  5. Step 5: Solve for x
    x = 2,298,588,633,804,912,640/1,036,985,949
  6. Step 6: Final answer
    x = 2,216,605,380.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.