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Finding the Third Proportional to 13,860,840 and 21,332,532

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Solution

The third proportional to 13,860,840 and 21,332,532 is: 32,831,842.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,860,840 : 21,332,532 = 21,332,532 : x
  2. Step 2: Convert to fraction form
    13,860,840/21,332,532 = 21,332,532/x
  3. Step 3: Cross multiply
    13,860,840x = 21,332,532 × 21,332,532
  4. Step 4: Simplify right side
    13,860,840x = 455,076,921,531,024
  5. Step 5: Solve for x
    x = 455,076,921,531,024/13,860,840
  6. Step 6: Final answer
    x = 32,831,842.91

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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.