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Finding the Third Proportional to 12,584,348 and 19,432,868

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Solution

The third proportional to 12,584,348 and 19,432,868 is: 30,008,416.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584,348 : 19,432,868 = 19,432,868 : x
  2. Step 2: Convert to fraction form
    12,584,348/19,432,868 = 19,432,868/x
  3. Step 3: Cross multiply
    12,584,348x = 19,432,868 × 19,432,868
  4. Step 4: Simplify right side
    12,584,348x = 377,636,358,705,424
  5. Step 5: Solve for x
    x = 377,636,358,705,424/12,584,348
  6. Step 6: Final answer
    x = 30,008,416.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.