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Finding the Third Proportional to 10,856,712 and 16,539,774

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Solution

The third proportional to 10,856,712 and 16,539,774 is: 25,197,695.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,856,712 : 16,539,774 = 16,539,774 : x
  2. Step 2: Convert to fraction form
    10,856,712/16,539,774 = 16,539,774/x
  3. Step 3: Cross multiply
    10,856,712x = 16,539,774 × 16,539,774
  4. Step 4: Simplify right side
    10,856,712x = 273,564,123,971,076
  5. Step 5: Solve for x
    x = 273,564,123,971,076/10,856,712
  6. Step 6: Final answer
    x = 25,197,695.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.