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Finding the Third Proportional to 42,369,710 and 89,824,124

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Solution

The third proportional to 42,369,710 and 89,824,124 is: 190,427,861.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,369,710 : 89,824,124 = 89,824,124 : x
  2. Step 2: Convert to fraction form
    42,369,710/89,824,124 = 89,824,124/x
  3. Step 3: Cross multiply
    42,369,710x = 89,824,124 × 89,824,124
  4. Step 4: Simplify right side
    42,369,710x = 8,068,373,252,367,376
  5. Step 5: Solve for x
    x = 8,068,373,252,367,376/42,369,710
  6. Step 6: Final answer
    x = 190,427,861.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.