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Finding the Third Proportional to 10,436,060 and 14,420,290

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Solution

The third proportional to 10,436,060 and 14,420,290 is: 19,925,600.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,436,060 : 14,420,290 = 14,420,290 : x
  2. Step 2: Convert to fraction form
    10,436,060/14,420,290 = 14,420,290/x
  3. Step 3: Cross multiply
    10,436,060x = 14,420,290 × 14,420,290
  4. Step 4: Simplify right side
    10,436,060x = 207,944,763,684,100
  5. Step 5: Solve for x
    x = 207,944,763,684,100/10,436,060
  6. Step 6: Final answer
    x = 19,925,600.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.