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Finding the Third Proportional to 10,772,535 and 23,038,059

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Solution

The third proportional to 10,772,535 and 23,038,059 is: 49,269,012.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772,535 : 23,038,059 = 23,038,059 : x
  2. Step 2: Convert to fraction form
    10,772,535/23,038,059 = 23,038,059/x
  3. Step 3: Cross multiply
    10,772,535x = 23,038,059 × 23,038,059
  4. Step 4: Simplify right side
    10,772,535x = 530,752,162,487,481
  5. Step 5: Solve for x
    x = 530,752,162,487,481/10,772,535
  6. Step 6: Final answer
    x = 49,269,012.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.