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Finding the Third Proportional to 47,411,991 and 103,438,521

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Solution

The third proportional to 47,411,991 and 103,438,521 is: 225,671,341.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,411,991 : 103,438,521 = 103,438,521 : x
  2. Step 2: Convert to fraction form
    47,411,991/103,438,521 = 103,438,521/x
  3. Step 3: Cross multiply
    47,411,991x = 103,438,521 × 103,438,521
  4. Step 4: Simplify right side
    47,411,991x = 10,699,527,626,667,440
  5. Step 5: Solve for x
    x = 10,699,527,626,667,440/47,411,991
  6. Step 6: Final answer
    x = 225,671,341.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.