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Finding the Third Proportional to 47,763,948 and 103,637,292

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Solution

The third proportional to 47,763,948 and 103,637,292 is: 224,870,194.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,763,948 : 103,637,292 = 103,637,292 : x
  2. Step 2: Convert to fraction form
    47,763,948/103,637,292 = 103,637,292/x
  3. Step 3: Cross multiply
    47,763,948x = 103,637,292 × 103,637,292
  4. Step 4: Simplify right side
    47,763,948x = 10,740,688,293,093,264
  5. Step 5: Solve for x
    x = 10,740,688,293,093,264/47,763,948
  6. Step 6: Final answer
    x = 224,870,194.84

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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.