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Finding the Third Proportional to 695,678,316.50 and 1,516,356,751

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Solution

The third proportional to 695,678,316.50 and 1,516,356,751 is: 3,305,173,873.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,678,316.50 : 1,516,356,751 = 1,516,356,751 : x
  2. Step 2: Convert to fraction form
    695,678,316.50/1,516,356,751 = 1,516,356,751/x
  3. Step 3: Cross multiply
    695,678,316.50x = 1,516,356,751 × 1,516,356,751
  4. Step 4: Simplify right side
    695,678,316.50x = 2,299,337,796,303,276,032
  5. Step 5: Solve for x
    x = 2,299,337,796,303,276,032/695,678,316.50
  6. Step 6: Final answer
    x = 3,305,173,873.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.