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Finding the Third Proportional to 634,066,310 and 1,285,961,125

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Solution

The third proportional to 634,066,310 and 1,285,961,125 is: 2,608,080,557.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,066,310 : 1,285,961,125 = 1,285,961,125 : x
  2. Step 2: Convert to fraction form
    634,066,310/1,285,961,125 = 1,285,961,125/x
  3. Step 3: Cross multiply
    634,066,310x = 1,285,961,125 × 1,285,961,125
  4. Step 4: Simplify right side
    634,066,310x = 1,653,696,015,011,265,536
  5. Step 5: Solve for x
    x = 1,653,696,015,011,265,536/634,066,310
  6. Step 6: Final answer
    x = 2,608,080,557.08

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.