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Finding the Third Proportional to 42,769,230 and 61,794,165

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Solution

The third proportional to 42,769,230 and 61,794,165 is: 89,281,916.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,769,230 : 61,794,165 = 61,794,165 : x
  2. Step 2: Convert to fraction form
    42,769,230/61,794,165 = 61,794,165/x
  3. Step 3: Cross multiply
    42,769,230x = 61,794,165 × 61,794,165
  4. Step 4: Simplify right side
    42,769,230x = 3,818,518,828,047,225
  5. Step 5: Solve for x
    x = 3,818,518,828,047,225/42,769,230
  6. Step 6: Final answer
    x = 89,281,916.65

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.