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Finding the Third Proportional to 23,461,803 and 49,068,711

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Solution

The third proportional to 23,461,803 and 49,068,711 is: 102,623,758.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,461,803 : 49,068,711 = 49,068,711 : x
  2. Step 2: Convert to fraction form
    23,461,803/49,068,711 = 49,068,711/x
  3. Step 3: Cross multiply
    23,461,803x = 49,068,711 × 49,068,711
  4. Step 4: Simplify right side
    23,461,803x = 2,407,738,399,201,521
  5. Step 5: Solve for x
    x = 2,407,738,399,201,521/23,461,803
  6. Step 6: Final answer
    x = 102,623,758.25

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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.