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Finding the Third Proportional to 10,288,612 and 15,788,652

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Solution

The third proportional to 10,288,612 and 15,788,652 is: 24,228,878.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288,612 : 15,788,652 = 15,788,652 : x
  2. Step 2: Convert to fraction form
    10,288,612/15,788,652 = 15,788,652/x
  3. Step 3: Cross multiply
    10,288,612x = 15,788,652 × 15,788,652
  4. Step 4: Simplify right side
    10,288,612x = 249,281,531,977,104
  5. Step 5: Solve for x
    x = 249,281,531,977,104/10,288,612
  6. Step 6: Final answer
    x = 24,228,878.68

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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.