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Finding the Third Proportional to 13,022,423 and 19,157,224

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Solution

The third proportional to 13,022,423 and 19,157,224 is: 28,182,100.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022,423 : 19,157,224 = 19,157,224 : x
  2. Step 2: Convert to fraction form
    13,022,423/19,157,224 = 19,157,224/x
  3. Step 3: Cross multiply
    13,022,423x = 19,157,224 × 19,157,224
  4. Step 4: Simplify right side
    13,022,423x = 366,999,231,386,176
  5. Step 5: Solve for x
    x = 366,999,231,386,176/13,022,423
  6. Step 6: Final answer
    x = 28,182,100.32

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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.