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Finding the Third Proportional to 13,022,418 and 19,157,218.50

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Solution

The third proportional to 13,022,418 and 19,157,218.50 is: 28,182,094.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022,418 : 19,157,218.50 = 19,157,218.50 : x
  2. Step 2: Convert to fraction form
    13,022,418/19,157,218.50 = 19,157,218.50/x
  3. Step 3: Cross multiply
    13,022,418x = 19,157,218.50 × 19,157,218.50
  4. Step 4: Simplify right side
    13,022,418x = 366,999,020,656,742.25
  5. Step 5: Solve for x
    x = 366,999,020,656,742.25/13,022,418
  6. Step 6: Final answer
    x = 28,182,094.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.