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Finding the Third Proportional to 430,692,471 and 939,342,744

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Solution

The third proportional to 430,692,471 and 939,342,744 is: 2,048,711,900.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,692,471 : 939,342,744 = 939,342,744 : x
  2. Step 2: Convert to fraction form
    430,692,471/939,342,744 = 939,342,744/x
  3. Step 3: Cross multiply
    430,692,471x = 939,342,744 × 939,342,744
  4. Step 4: Simplify right side
    430,692,471x = 882,364,790,705,449,472
  5. Step 5: Solve for x
    x = 882,364,790,705,449,472/430,692,471
  6. Step 6: Final answer
    x = 2,048,711,900.30

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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.