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Finding the Third Proportional to 12,086,824 and 18,742,960

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Solution

The third proportional to 12,086,824 and 18,742,960 is: 29,064,587.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086,824 : 18,742,960 = 18,742,960 : x
  2. Step 2: Convert to fraction form
    12,086,824/18,742,960 = 18,742,960/x
  3. Step 3: Cross multiply
    12,086,824x = 18,742,960 × 18,742,960
  4. Step 4: Simplify right side
    12,086,824x = 351,298,549,561,600
  5. Step 5: Solve for x
    x = 351,298,549,561,600/12,086,824
  6. Step 6: Final answer
    x = 29,064,587.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.