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Finding the Third Proportional to 10,989,408 and 16,154,865

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Solution

The third proportional to 10,989,408 and 16,154,865 is: 23,748,291.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,989,408 : 16,154,865 = 16,154,865 : x
  2. Step 2: Convert to fraction form
    10,989,408/16,154,865 = 16,154,865/x
  3. Step 3: Cross multiply
    10,989,408x = 16,154,865 × 16,154,865
  4. Step 4: Simplify right side
    10,989,408x = 260,979,663,168,225
  5. Step 5: Solve for x
    x = 260,979,663,168,225/10,989,408
  6. Step 6: Final answer
    x = 23,748,291.37

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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.