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Finding the Third Proportional to 47,763,976 and 103,637,348

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Solution

The third proportional to 47,763,976 and 103,637,348 is: 224,870,306.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,763,976 : 103,637,348 = 103,637,348 : x
  2. Step 2: Convert to fraction form
    47,763,976/103,637,348 = 103,637,348/x
  3. Step 3: Cross multiply
    47,763,976x = 103,637,348 × 103,637,348
  4. Step 4: Simplify right side
    47,763,976x = 10,740,699,900,473,104
  5. Step 5: Solve for x
    x = 10,740,699,900,473,104/47,763,976
  6. Step 6: Final answer
    x = 224,870,306.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.