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Finding the Third Proportional to 42,183,711 and 92,471,967

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Solution

The third proportional to 42,183,711 and 92,471,967 is: 202,710,109.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,183,711 : 92,471,967 = 92,471,967 : x
  2. Step 2: Convert to fraction form
    42,183,711/92,471,967 = 92,471,967/x
  3. Step 3: Cross multiply
    42,183,711x = 92,471,967 × 92,471,967
  4. Step 4: Simplify right side
    42,183,711x = 8,551,064,680,849,089
  5. Step 5: Solve for x
    x = 8,551,064,680,849,089/42,183,711
  6. Step 6: Final answer
    x = 202,710,109.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.