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Finding the Third Proportional to 13,022,280 and 19,157,076

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Solution

The third proportional to 13,022,280 and 19,157,076 is: 28,181,974.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022,280 : 19,157,076 = 19,157,076 : x
  2. Step 2: Convert to fraction form
    13,022,280/19,157,076 = 19,157,076/x
  3. Step 3: Cross multiply
    13,022,280x = 19,157,076 × 19,157,076
  4. Step 4: Simplify right side
    13,022,280x = 366,993,560,869,776
  5. Step 5: Solve for x
    x = 366,993,560,869,776/13,022,280
  6. Step 6: Final answer
    x = 28,181,974.34

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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.