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Finding the Third Proportional to 440,652,076 and 666,645,501

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Solution

The third proportional to 440,652,076 and 666,645,501 is: 1,008,542,222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,652,076 : 666,645,501 = 666,645,501 : x
  2. Step 2: Convert to fraction form
    440,652,076/666,645,501 = 666,645,501/x
  3. Step 3: Cross multiply
    440,652,076x = 666,645,501 × 666,645,501
  4. Step 4: Simplify right side
    440,652,076x = 444,416,224,003,540,992
  5. Step 5: Solve for x
    x = 444,416,224,003,540,992/440,652,076
  6. Step 6: Final answer
    x = 1,008,542,222.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.