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Finding the Third Proportional to 47,763,946 and 103,637,288

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Solution

The third proportional to 47,763,946 and 103,637,288 is: 224,870,186.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,763,946 : 103,637,288 = 103,637,288 : x
  2. Step 2: Convert to fraction form
    47,763,946/103,637,288 = 103,637,288/x
  3. Step 3: Cross multiply
    47,763,946x = 103,637,288 × 103,637,288
  4. Step 4: Simplify right side
    47,763,946x = 10,740,687,463,994,944
  5. Step 5: Solve for x
    x = 10,740,687,463,994,944/47,763,946
  6. Step 6: Final answer
    x = 224,870,186.90

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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.