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Finding the Third Proportional to 49,411,944 and 71,283,240

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Solution

The third proportional to 49,411,944 and 71,283,240 is: 102,835,466.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,411,944 : 71,283,240 = 71,283,240 : x
  2. Step 2: Convert to fraction form
    49,411,944/71,283,240 = 71,283,240/x
  3. Step 3: Cross multiply
    49,411,944x = 71,283,240 × 71,283,240
  4. Step 4: Simplify right side
    49,411,944x = 5,081,300,304,897,600
  5. Step 5: Solve for x
    x = 5,081,300,304,897,600/49,411,944
  6. Step 6: Final answer
    x = 102,835,466.36

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.