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Finding the Third Proportional to 47,700,582 and 74,385,225

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Solution

The third proportional to 47,700,582 and 74,385,225 is: 115,997,781.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,700,582 : 74,385,225 = 74,385,225 : x
  2. Step 2: Convert to fraction form
    47,700,582/74,385,225 = 74,385,225/x
  3. Step 3: Cross multiply
    47,700,582x = 74,385,225 × 74,385,225
  4. Step 4: Simplify right side
    47,700,582x = 5,533,161,698,300,625
  5. Step 5: Solve for x
    x = 5,533,161,698,300,625/47,700,582
  6. Step 6: Final answer
    x = 115,997,781.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.