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Finding the Third Proportional to 47,763,968 and 103,637,331

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Solution

The third proportional to 47,763,968 and 103,637,331 is: 224,870,269.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,763,968 : 103,637,331 = 103,637,331 : x
  2. Step 2: Convert to fraction form
    47,763,968/103,637,331 = 103,637,331/x
  3. Step 3: Cross multiply
    47,763,968x = 103,637,331 × 103,637,331
  4. Step 4: Simplify right side
    47,763,968x = 10,740,696,376,803,560
  5. Step 5: Solve for x
    x = 10,740,696,376,803,560/47,763,968
  6. Step 6: Final answer
    x = 224,870,269.92

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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.