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Finding the Third Proportional to 10,010,302.31 and 21,855,497.63

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Solution

The third proportional to 10,010,302.31 and 21,855,497.63 is: 47,717,117.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,010,302.31 : 21,855,497.63 = 21,855,497.63 : x
  2. Step 2: Convert to fraction form
    10,010,302.31/21,855,497.63 = 21,855,497.63/x
  3. Step 3: Cross multiply
    10,010,302.31x = 21,855,497.63 × 21,855,497.63
  4. Step 4: Simplify right side
    10,010,302.31x = 477,662,776,436,380.62
  5. Step 5: Solve for x
    x = 477,662,776,436,380.62/10,010,302.31
  6. Step 6: Final answer
    x = 47,717,117.98

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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.