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Finding the Third Proportional to 335,956,582.13 and 698,731,251.75

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Solution

The third proportional to 335,956,582.13 and 698,731,251.75 is: 1,453,239,460.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,956,582.13 : 698,731,251.75 = 698,731,251.75 : x
  2. Step 2: Convert to fraction form
    335,956,582.13/698,731,251.75 = 698,731,251.75/x
  3. Step 3: Cross multiply
    335,956,582.13x = 698,731,251.75 × 698,731,251.75
  4. Step 4: Simplify right side
    335,956,582.13x = 488,225,362,172,121,856
  5. Step 5: Solve for x
    x = 488,225,362,172,121,856/335,956,582.13
  6. Step 6: Final answer
    x = 1,453,239,460.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.