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Finding the Third Proportional to 9,603,785 and 14,649,582

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Solution

The third proportional to 9,603,785 and 14,649,582 is: 22,346,424.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603,785 : 14,649,582 = 14,649,582 : x
  2. Step 2: Convert to fraction form
    9,603,785/14,649,582 = 14,649,582/x
  3. Step 3: Cross multiply
    9,603,785x = 14,649,582 × 14,649,582
  4. Step 4: Simplify right side
    9,603,785x = 214,610,252,774,724
  5. Step 5: Solve for x
    x = 214,610,252,774,724/9,603,785
  6. Step 6: Final answer
    x = 22,346,424.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.