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Finding the Third Proportional to 9,152,478 and 12,416,169

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Solution

The third proportional to 9,152,478 and 12,416,169 is: 16,843,662.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152,478 : 12,416,169 = 12,416,169 : x
  2. Step 2: Convert to fraction form
    9,152,478/12,416,169 = 12,416,169/x
  3. Step 3: Cross multiply
    9,152,478x = 12,416,169 × 12,416,169
  4. Step 4: Simplify right side
    9,152,478x = 154,161,252,636,561
  5. Step 5: Solve for x
    x = 154,161,252,636,561/9,152,478
  6. Step 6: Final answer
    x = 16,843,662.74

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.