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Finding the Third Proportional to 22,731,023 and 34,773,047

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Solution

The third proportional to 22,731,023 and 34,773,047 is: 53,194,473.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,731,023 : 34,773,047 = 34,773,047 : x
  2. Step 2: Convert to fraction form
    22,731,023/34,773,047 = 34,773,047/x
  3. Step 3: Cross multiply
    22,731,023x = 34,773,047 × 34,773,047
  4. Step 4: Simplify right side
    22,731,023x = 1,209,164,797,664,209
  5. Step 5: Solve for x
    x = 1,209,164,797,664,209/22,731,023
  6. Step 6: Final answer
    x = 53,194,473.37

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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.