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Finding the Third Proportional to 440,761,872 and 960,885,712

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Solution

The third proportional to 440,761,872 and 960,885,712 is: 2,094,784,985.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,761,872 : 960,885,712 = 960,885,712 : x
  2. Step 2: Convert to fraction form
    440,761,872/960,885,712 = 960,885,712/x
  3. Step 3: Cross multiply
    440,761,872x = 960,885,712 × 960,885,712
  4. Step 4: Simplify right side
    440,761,872x = 923,301,351,525,746,944
  5. Step 5: Solve for x
    x = 923,301,351,525,746,944/440,761,872
  6. Step 6: Final answer
    x = 2,094,784,985.23

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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.