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Finding the Third Proportional to 48,476,640 and 103,671,743

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Solution

The third proportional to 48,476,640 and 103,671,743 is: 221,711,535.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,476,640 : 103,671,743 = 103,671,743 : x
  2. Step 2: Convert to fraction form
    48,476,640/103,671,743 = 103,671,743/x
  3. Step 3: Cross multiply
    48,476,640x = 103,671,743 × 103,671,743
  4. Step 4: Simplify right side
    48,476,640x = 10,747,830,296,658,048
  5. Step 5: Solve for x
    x = 10,747,830,296,658,048/48,476,640
  6. Step 6: Final answer
    x = 221,711,535.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.