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Finding the Third Proportional to 4,765,603,711.50 and 10,389,284,217

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Solution

The third proportional to 4,765,603,711.50 and 10,389,284,217 is: 22,649,224,122.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765,603,711.50 : 10,389,284,217 = 10,389,284,217 : x
  2. Step 2: Convert to fraction form
    4,765,603,711.50/10,389,284,217 = 10,389,284,217/x
  3. Step 3: Cross multiply
    4,765,603,711.50x = 10,389,284,217 × 10,389,284,217
  4. Step 4: Simplify right side
    4,765,603,711.50x = 107,937,226,541,605,306,368
  5. Step 5: Solve for x
    x = 107,937,226,541,605,306,368/4,765,603,711.50
  6. Step 6: Final answer
    x = 22,649,224,122.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.