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Finding the Third Proportional to 822,951,798 and 1,760,441,484

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Solution

The third proportional to 822,951,798 and 1,760,441,484 is: 3,765,900,051.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,951,798 : 1,760,441,484 = 1,760,441,484 : x
  2. Step 2: Convert to fraction form
    822,951,798/1,760,441,484 = 1,760,441,484/x
  3. Step 3: Cross multiply
    822,951,798x = 1,760,441,484 × 1,760,441,484
  4. Step 4: Simplify right side
    822,951,798x = 3,099,154,218,588,122,112
  5. Step 5: Solve for x
    x = 3,099,154,218,588,122,112/822,951,798
  6. Step 6: Final answer
    x = 3,765,900,051.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.