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Finding the Third Proportional to 10,258,616 and 22,295,164

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Solution

The third proportional to 10,258,616 and 22,295,164 is: 48,454,327.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258,616 : 22,295,164 = 22,295,164 : x
  2. Step 2: Convert to fraction form
    10,258,616/22,295,164 = 22,295,164/x
  3. Step 3: Cross multiply
    10,258,616x = 22,295,164 × 22,295,164
  4. Step 4: Simplify right side
    10,258,616x = 497,074,337,786,896
  5. Step 5: Solve for x
    x = 497,074,337,786,896/10,258,616
  6. Step 6: Final answer
    x = 48,454,327.35

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