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Finding the Third Proportional to 863,674,305 and 1,864,971,123

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Solution

The third proportional to 863,674,305 and 1,864,971,123 is: 4,027,116,784.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,674,305 : 1,864,971,123 = 1,864,971,123 : x
  2. Step 2: Convert to fraction form
    863,674,305/1,864,971,123 = 1,864,971,123/x
  3. Step 3: Cross multiply
    863,674,305x = 1,864,971,123 × 1,864,971,123
  4. Step 4: Simplify right side
    863,674,305x = 3,478,117,289,623,881,216
  5. Step 5: Solve for x
    x = 3,478,117,289,623,881,216/863,674,305
  6. Step 6: Final answer
    x = 4,027,116,784.06

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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.