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Finding the Third Proportional to 22,892,984 and 48,436,072

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Solution

The third proportional to 22,892,984 and 48,436,072 is: 102,479,129.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,892,984 : 48,436,072 = 48,436,072 : x
  2. Step 2: Convert to fraction form
    22,892,984/48,436,072 = 48,436,072/x
  3. Step 3: Cross multiply
    22,892,984x = 48,436,072 × 48,436,072
  4. Step 4: Simplify right side
    22,892,984x = 2,346,053,070,789,184
  5. Step 5: Solve for x
    x = 2,346,053,070,789,184/22,892,984
  6. Step 6: Final answer
    x = 102,479,129.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.