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Finding the Third Proportional to 23,461,737.75 and 49,068,598.50

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Solution

The third proportional to 23,461,737.75 and 49,068,598.50 is: 102,623,573.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,461,737.75 : 49,068,598.50 = 49,068,598.50 : x
  2. Step 2: Convert to fraction form
    23,461,737.75/49,068,598.50 = 49,068,598.50/x
  3. Step 3: Cross multiply
    23,461,737.75x = 49,068,598.50 × 49,068,598.50
  4. Step 4: Simplify right side
    23,461,737.75x = 2,407,727,358,754,202
  5. Step 5: Solve for x
    x = 2,407,727,358,754,202/23,461,737.75
  6. Step 6: Final answer
    x = 102,623,573.09

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.