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Finding the Third Proportional to 14,909,986 and 32,611,550

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Solution

The third proportional to 14,909,986 and 32,611,550 is: 71,328,919.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,909,986 : 32,611,550 = 32,611,550 : x
  2. Step 2: Convert to fraction form
    14,909,986/32,611,550 = 32,611,550/x
  3. Step 3: Cross multiply
    14,909,986x = 32,611,550 × 32,611,550
  4. Step 4: Simplify right side
    14,909,986x = 1,063,513,193,402,500
  5. Step 5: Solve for x
    x = 1,063,513,193,402,500/14,909,986
  6. Step 6: Final answer
    x = 71,328,919.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.