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Finding the Third Proportional to 10,072,997 and 21,583,264

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Solution

The third proportional to 10,072,997 and 21,583,264 is: 46,246,145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072,997 : 21,583,264 = 21,583,264 : x
  2. Step 2: Convert to fraction form
    10,072,997/21,583,264 = 21,583,264/x
  3. Step 3: Cross multiply
    10,072,997x = 21,583,264 × 21,583,264
  4. Step 4: Simplify right side
    10,072,997x = 465,837,284,893,696
  5. Step 5: Solve for x
    x = 465,837,284,893,696/10,072,997
  6. Step 6: Final answer
    x = 46,246,145.50

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.