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Finding the Third Proportional to 10,989,467 and 16,154,942

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Solution

The third proportional to 10,989,467 and 16,154,942 is: 23,748,390.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,989,467 : 16,154,942 = 16,154,942 : x
  2. Step 2: Convert to fraction form
    10,989,467/16,154,942 = 16,154,942/x
  3. Step 3: Cross multiply
    10,989,467x = 16,154,942 × 16,154,942
  4. Step 4: Simplify right side
    10,989,467x = 260,982,151,023,364
  5. Step 5: Solve for x
    x = 260,982,151,023,364/10,989,467
  6. Step 6: Final answer
    x = 23,748,390.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.