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Finding the Third Proportional to 47,763,968 and 103,637,332

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Solution

The third proportional to 47,763,968 and 103,637,332 is: 224,870,274.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,763,968 : 103,637,332 = 103,637,332 : x
  2. Step 2: Convert to fraction form
    47,763,968/103,637,332 = 103,637,332/x
  3. Step 3: Cross multiply
    47,763,968x = 103,637,332 × 103,637,332
  4. Step 4: Simplify right side
    47,763,968x = 10,740,696,584,078,224
  5. Step 5: Solve for x
    x = 10,740,696,584,078,224/47,763,968
  6. Step 6: Final answer
    x = 224,870,274.26

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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.