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Finding the Third Proportional to 22,731,021 and 34,773,043.50

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Solution

The third proportional to 22,731,021 and 34,773,043.50 is: 53,194,467.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,731,021 : 34,773,043.50 = 34,773,043.50 : x
  2. Step 2: Convert to fraction form
    22,731,021/34,773,043.50 = 34,773,043.50/x
  3. Step 3: Cross multiply
    22,731,021x = 34,773,043.50 × 34,773,043.50
  4. Step 4: Simplify right side
    22,731,021x = 1,209,164,554,252,892.25
  5. Step 5: Solve for x
    x = 1,209,164,554,252,892.25/22,731,021
  6. Step 6: Final answer
    x = 53,194,467.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.