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Finding the Third Proportional to 13,863,006 and 30,913,560

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Solution

The third proportional to 13,863,006 and 30,913,560 is: 68,935,135.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,863,006 : 30,913,560 = 30,913,560 : x
  2. Step 2: Convert to fraction form
    13,863,006/30,913,560 = 30,913,560/x
  3. Step 3: Cross multiply
    13,863,006x = 30,913,560 × 30,913,560
  4. Step 4: Simplify right side
    13,863,006x = 955,648,191,873,600
  5. Step 5: Solve for x
    x = 955,648,191,873,600/13,863,006
  6. Step 6: Final answer
    x = 68,935,135.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.