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Finding the Third Proportional to 47,763,966 and 103,637,328

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Solution

The third proportional to 47,763,966 and 103,637,328 is: 224,870,266.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,763,966 : 103,637,328 = 103,637,328 : x
  2. Step 2: Convert to fraction form
    47,763,966/103,637,328 = 103,637,328/x
  3. Step 3: Cross multiply
    47,763,966x = 103,637,328 × 103,637,328
  4. Step 4: Simplify right side
    47,763,966x = 10,740,695,754,979,584
  5. Step 5: Solve for x
    x = 10,740,695,754,979,584/47,763,966
  6. Step 6: Final answer
    x = 224,870,266.32

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