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Finding the Third Proportional to 1,091,703,024 and 1,561,148,208

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Solution

The third proportional to 1,091,703,024 and 1,561,148,208 is: 2,232,460,361.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091,703,024 : 1,561,148,208 = 1,561,148,208 : x
  2. Step 2: Convert to fraction form
    1,091,703,024/1,561,148,208 = 1,561,148,208/x
  3. Step 3: Cross multiply
    1,091,703,024x = 1,561,148,208 × 1,561,148,208
  4. Step 4: Simplify right side
    1,091,703,024x = 2,437,183,727,341,611,008
  5. Step 5: Solve for x
    x = 2,437,183,727,341,611,008/1,091,703,024
  6. Step 6: Final answer
    x = 2,232,460,361.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.