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Finding the Third Proportional to 10,027,440 and 21,977,202

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Solution

The third proportional to 10,027,440 and 21,977,202 is: 48,167,568.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,027,440 : 21,977,202 = 21,977,202 : x
  2. Step 2: Convert to fraction form
    10,027,440/21,977,202 = 21,977,202/x
  3. Step 3: Cross multiply
    10,027,440x = 21,977,202 × 21,977,202
  4. Step 4: Simplify right side
    10,027,440x = 482,997,407,748,804
  5. Step 5: Solve for x
    x = 482,997,407,748,804/10,027,440
  6. Step 6: Final answer
    x = 48,167,568.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.