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Finding the Third Proportional to 421,881,777 and 925,451,284.50

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Solution

The third proportional to 421,881,777 and 925,451,284.50 is: 2,030,094,985.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,881,777 : 925,451,284.50 = 925,451,284.50 : x
  2. Step 2: Convert to fraction form
    421,881,777/925,451,284.50 = 925,451,284.50/x
  3. Step 3: Cross multiply
    421,881,777x = 925,451,284.50 × 925,451,284.50
  4. Step 4: Simplify right side
    421,881,777x = 856,460,079,982,699,904
  5. Step 5: Solve for x
    x = 856,460,079,982,699,904/421,881,777
  6. Step 6: Final answer
    x = 2,030,094,985.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.