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Finding the Third Proportional to 8,656,598,925 and 18,906,989,139

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Solution

The third proportional to 8,656,598,925 and 18,906,989,139 is: 41,294,998,347.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,656,598,925 : 18,906,989,139 = 18,906,989,139 : x
  2. Step 2: Convert to fraction form
    8,656,598,925/18,906,989,139 = 18,906,989,139/x
  3. Step 3: Cross multiply
    8,656,598,925x = 18,906,989,139 × 18,906,989,139
  4. Step 4: Simplify right side
    8,656,598,925x = 357,474,238,302,263,967,744
  5. Step 5: Solve for x
    x = 357,474,238,302,263,967,744/8,656,598,925
  6. Step 6: Final answer
    x = 41,294,998,347.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.