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Finding the Third Proportional to 10,256,258 and 21,885,412

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Solution

The third proportional to 10,256,258 and 21,885,412 is: 46,700,390.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256,258 : 21,885,412 = 21,885,412 : x
  2. Step 2: Convert to fraction form
    10,256,258/21,885,412 = 21,885,412/x
  3. Step 3: Cross multiply
    10,256,258x = 21,885,412 × 21,885,412
  4. Step 4: Simplify right side
    10,256,258x = 478,971,258,409,744
  5. Step 5: Solve for x
    x = 478,971,258,409,744/10,256,258
  6. Step 6: Final answer
    x = 46,700,390.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.