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Finding the Third Proportional to 1,948,740,444 and 4,547,218,176

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Solution

The third proportional to 1,948,740,444 and 4,547,218,176 is: 10,610,542,416.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948,740,444 : 4,547,218,176 = 4,547,218,176 : x
  2. Step 2: Convert to fraction form
    1,948,740,444/4,547,218,176 = 4,547,218,176/x
  3. Step 3: Cross multiply
    1,948,740,444x = 4,547,218,176 × 4,547,218,176
  4. Step 4: Simplify right side
    1,948,740,444x = 20,677,193,140,144,766,976
  5. Step 5: Solve for x
    x = 20,677,193,140,144,766,976/1,948,740,444
  6. Step 6: Final answer
    x = 10,610,542,416.67

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.