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Finding the Third Proportional to 15,470,169 and 32,784,435

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Solution

The third proportional to 15,470,169 and 32,784,435 is: 69,476,886.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,470,169 : 32,784,435 = 32,784,435 : x
  2. Step 2: Convert to fraction form
    15,470,169/32,784,435 = 32,784,435/x
  3. Step 3: Cross multiply
    15,470,169x = 32,784,435 × 32,784,435
  4. Step 4: Simplify right side
    15,470,169x = 1,074,819,178,269,225
  5. Step 5: Solve for x
    x = 1,074,819,178,269,225/15,470,169
  6. Step 6: Final answer
    x = 69,476,886.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.