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Finding the Third Proportional to 10,462,180 and 22,168,944

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Solution

The third proportional to 10,462,180 and 22,168,944 is: 46,975,112.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462,180 : 22,168,944 = 22,168,944 : x
  2. Step 2: Convert to fraction form
    10,462,180/22,168,944 = 22,168,944/x
  3. Step 3: Cross multiply
    10,462,180x = 22,168,944 × 22,168,944
  4. Step 4: Simplify right side
    10,462,180x = 491,462,078,075,136
  5. Step 5: Solve for x
    x = 491,462,078,075,136/10,462,180
  6. Step 6: Final answer
    x = 46,975,112.08

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.