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Finding the Third Proportional to 418,096,996 and 650,001,102

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Solution

The third proportional to 418,096,996 and 650,001,102 is: 1,010,534,485.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,096,996 : 650,001,102 = 650,001,102 : x
  2. Step 2: Convert to fraction form
    418,096,996/650,001,102 = 650,001,102/x
  3. Step 3: Cross multiply
    418,096,996x = 650,001,102 × 650,001,102
  4. Step 4: Simplify right side
    418,096,996x = 422,501,432,601,214,400
  5. Step 5: Solve for x
    x = 422,501,432,601,214,400/418,096,996
  6. Step 6: Final answer
    x = 1,010,534,485.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.