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Finding the Third Proportional to 563,622,832.13 and 1,165,907,998.13

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Solution

The third proportional to 563,622,832.13 and 1,165,907,998.13 is: 2,411,792,749.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,622,832.13 : 1,165,907,998.13 = 1,165,907,998.13 : x
  2. Step 2: Convert to fraction form
    563,622,832.13/1,165,907,998.13 = 1,165,907,998.13/x
  3. Step 3: Cross multiply
    563,622,832.13x = 1,165,907,998.13 × 1,165,907,998.13
  4. Step 4: Simplify right side
    563,622,832.13x = 1,359,341,460,091,845,120
  5. Step 5: Solve for x
    x = 1,359,341,460,091,845,120/563,622,832.13
  6. Step 6: Final answer
    x = 2,411,792,749.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.