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Finding the Third Proportional to 9,949,590 and 14,921,460

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Solution

The third proportional to 9,949,590 and 14,921,460 is: 22,377,803.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,949,590 : 14,921,460 = 14,921,460 : x
  2. Step 2: Convert to fraction form
    9,949,590/14,921,460 = 14,921,460/x
  3. Step 3: Cross multiply
    9,949,590x = 14,921,460 × 14,921,460
  4. Step 4: Simplify right side
    9,949,590x = 222,649,968,531,600
  5. Step 5: Solve for x
    x = 222,649,968,531,600/9,949,590
  6. Step 6: Final answer
    x = 22,377,803.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.