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Finding the Third Proportional to 9,881,211 and 21,411,632

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Solution

The third proportional to 9,881,211 and 21,411,632 is: 46,396,943.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881,211 : 21,411,632 = 21,411,632 : x
  2. Step 2: Convert to fraction form
    9,881,211/21,411,632 = 21,411,632/x
  3. Step 3: Cross multiply
    9,881,211x = 21,411,632 × 21,411,632
  4. Step 4: Simplify right side
    9,881,211x = 458,457,984,903,424
  5. Step 5: Solve for x
    x = 458,457,984,903,424/9,881,211
  6. Step 6: Final answer
    x = 46,396,943.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.