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Finding the Third Proportional to 194,567,456 and 425,036,711

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Solution

The third proportional to 194,567,456 and 425,036,711 is: 928,501,659.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,567,456 : 425,036,711 = 425,036,711 : x
  2. Step 2: Convert to fraction form
    194,567,456/425,036,711 = 425,036,711/x
  3. Step 3: Cross multiply
    194,567,456x = 425,036,711 × 425,036,711
  4. Step 4: Simplify right side
    194,567,456x = 180,656,205,697,697,536
  5. Step 5: Solve for x
    x = 180,656,205,697,697,536/194,567,456
  6. Step 6: Final answer
    x = 928,501,659.07

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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.