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Finding the Third Proportional to 440,233,931.16 and 959,569,499.44

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Solution

The third proportional to 440,233,931.16 and 959,569,499.44 is: 2,091,555,327.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,233,931.16 : 959,569,499.44 = 959,569,499.44 : x
  2. Step 2: Convert to fraction form
    440,233,931.16/959,569,499.44 = 959,569,499.44/x
  3. Step 3: Cross multiply
    440,233,931.16x = 959,569,499.44 × 959,569,499.44
  4. Step 4: Simplify right side
    440,233,931.16x = 920,773,624,250,734,336
  5. Step 5: Solve for x
    x = 920,773,624,250,734,336/440,233,931.16
  6. Step 6: Final answer
    x = 2,091,555,327.94

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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.