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Finding the Third Proportional to 23,461,848 and 49,068,792

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Solution

The third proportional to 23,461,848 and 49,068,792 is: 102,623,900.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,461,848 : 49,068,792 = 49,068,792 : x
  2. Step 2: Convert to fraction form
    23,461,848/49,068,792 = 49,068,792/x
  3. Step 3: Cross multiply
    23,461,848x = 49,068,792 × 49,068,792
  4. Step 4: Simplify right side
    23,461,848x = 2,407,746,348,339,264
  5. Step 5: Solve for x
    x = 2,407,746,348,339,264/23,461,848
  6. Step 6: Final answer
    x = 102,623,900.23

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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.