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Finding the Third Proportional to 1,635,157,489 and 3,586,885,001

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Solution

The third proportional to 1,635,157,489 and 3,586,885,001 is: 7,868,198,688.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635,157,489 : 3,586,885,001 = 3,586,885,001 : x
  2. Step 2: Convert to fraction form
    1,635,157,489/3,586,885,001 = 3,586,885,001/x
  3. Step 3: Cross multiply
    1,635,157,489x = 3,586,885,001 × 3,586,885,001
  4. Step 4: Simplify right side
    1,635,157,489x = 12,865,744,010,398,769,152
  5. Step 5: Solve for x
    x = 12,865,744,010,398,769,152/1,635,157,489
  6. Step 6: Final answer
    x = 7,868,198,688.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.