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Finding the Third Proportional to 22,984,924 and 49,457,024

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Solution

The third proportional to 22,984,924 and 49,457,024 is: 106,417,459.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,984,924 : 49,457,024 = 49,457,024 : x
  2. Step 2: Convert to fraction form
    22,984,924/49,457,024 = 49,457,024/x
  3. Step 3: Cross multiply
    22,984,924x = 49,457,024 × 49,457,024
  4. Step 4: Simplify right side
    22,984,924x = 2,445,997,222,936,576
  5. Step 5: Solve for x
    x = 2,445,997,222,936,576/22,984,924
  6. Step 6: Final answer
    x = 106,417,459.68

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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.