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Finding the Third Proportional to 10,097,235 and 21,734,118

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Solution

The third proportional to 10,097,235 and 21,734,118 is: 46,782,300.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097,235 : 21,734,118 = 21,734,118 : x
  2. Step 2: Convert to fraction form
    10,097,235/21,734,118 = 21,734,118/x
  3. Step 3: Cross multiply
    10,097,235x = 21,734,118 × 21,734,118
  4. Step 4: Simplify right side
    10,097,235x = 472,371,885,237,924
  5. Step 5: Solve for x
    x = 472,371,885,237,924/10,097,235
  6. Step 6: Final answer
    x = 46,782,300.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.