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Finding the Third Proportional to 47,997,440 and 103,656,215

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Solution

The third proportional to 47,997,440 and 103,656,215 is: 223,857,999.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,997,440 : 103,656,215 = 103,656,215 : x
  2. Step 2: Convert to fraction form
    47,997,440/103,656,215 = 103,656,215/x
  3. Step 3: Cross multiply
    47,997,440x = 103,656,215 × 103,656,215
  4. Step 4: Simplify right side
    47,997,440x = 10,744,610,908,126,224
  5. Step 5: Solve for x
    x = 10,744,610,908,126,224/47,997,440
  6. Step 6: Final answer
    x = 223,857,999.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.