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Finding the Third Proportional to 4,969,160 and 10,646,911

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Solution

The third proportional to 4,969,160 and 10,646,911 is: 22,812,047.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969,160 : 10,646,911 = 10,646,911 : x
  2. Step 2: Convert to fraction form
    4,969,160/10,646,911 = 10,646,911/x
  3. Step 3: Cross multiply
    4,969,160x = 10,646,911 × 10,646,911
  4. Step 4: Simplify right side
    4,969,160x = 113,356,713,841,921
  5. Step 5: Solve for x
    x = 113,356,713,841,921/4,969,160
  6. Step 6: Final answer
    x = 22,812,047.48

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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.