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Finding the Third Proportional to 8,854,164 and 19,348,552

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Solution

The third proportional to 8,854,164 and 19,348,552 is: 42,281,401.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,854,164 : 19,348,552 = 19,348,552 : x
  2. Step 2: Convert to fraction form
    8,854,164/19,348,552 = 19,348,552/x
  3. Step 3: Cross multiply
    8,854,164x = 19,348,552 × 19,348,552
  4. Step 4: Simplify right side
    8,854,164x = 374,366,464,496,704
  5. Step 5: Solve for x
    x = 374,366,464,496,704/8,854,164
  6. Step 6: Final answer
    x = 42,281,401.67

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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.