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Finding the Third Proportional to 10,007,972 and 21,812,208

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Solution

The third proportional to 10,007,972 and 21,812,208 is: 47,539,343.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007,972 : 21,812,208 = 21,812,208 : x
  2. Step 2: Convert to fraction form
    10,007,972/21,812,208 = 21,812,208/x
  3. Step 3: Cross multiply
    10,007,972x = 21,812,208 × 21,812,208
  4. Step 4: Simplify right side
    10,007,972x = 475,772,417,835,264
  5. Step 5: Solve for x
    x = 475,772,417,835,264/10,007,972
  6. Step 6: Final answer
    x = 47,539,343.42

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.