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Finding the Third Proportional to 863,677,308 and 1,864,975,872

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Solution

The third proportional to 863,677,308 and 1,864,975,872 is: 4,027,123,291.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,677,308 : 1,864,975,872 = 1,864,975,872 : x
  2. Step 2: Convert to fraction form
    863,677,308/1,864,975,872 = 1,864,975,872/x
  3. Step 3: Cross multiply
    863,677,308x = 1,864,975,872 × 1,864,975,872
  4. Step 4: Simplify right side
    863,677,308x = 3,478,135,003,142,160,384
  5. Step 5: Solve for x
    x = 3,478,135,003,142,160,384/863,677,308
  6. Step 6: Final answer
    x = 4,027,123,291.22

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.