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Finding the Third Proportional to 22,984,928 and 49,457,032

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Solution

The third proportional to 22,984,928 and 49,457,032 is: 106,417,475.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,984,928 : 49,457,032 = 49,457,032 : x
  2. Step 2: Convert to fraction form
    22,984,928/49,457,032 = 49,457,032/x
  3. Step 3: Cross multiply
    22,984,928x = 49,457,032 × 49,457,032
  4. Step 4: Simplify right side
    22,984,928x = 2,445,998,014,249,024
  5. Step 5: Solve for x
    x = 2,445,998,014,249,024/22,984,928
  6. Step 6: Final answer
    x = 106,417,475.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.