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Finding the Third Proportional to 377,622,091.13 and 817,298,211.38

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Solution

The third proportional to 377,622,091.13 and 817,298,211.38 is: 1,768,901,719.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,622,091.13 : 817,298,211.38 = 817,298,211.38 : x
  2. Step 2: Convert to fraction form
    377,622,091.13/817,298,211.38 = 817,298,211.38/x
  3. Step 3: Cross multiply
    377,622,091.13x = 817,298,211.38 × 817,298,211.38
  4. Step 4: Simplify right side
    377,622,091.13x = 667,976,366,316,774,144
  5. Step 5: Solve for x
    x = 667,976,366,316,774,144/377,622,091.13
  6. Step 6: Final answer
    x = 1,768,901,719.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.