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Finding the Third Proportional to 4,316,527,354 and 9,446,722,290

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Solution

The third proportional to 4,316,527,354 and 9,446,722,290 is: 20,674,156,493.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,316,527,354 : 9,446,722,290 = 9,446,722,290 : x
  2. Step 2: Convert to fraction form
    4,316,527,354/9,446,722,290 = 9,446,722,290/x
  3. Step 3: Cross multiply
    4,316,527,354x = 9,446,722,290 × 9,446,722,290
  4. Step 4: Simplify right side
    4,316,527,354x = 89,240,562,024,382,840,832
  5. Step 5: Solve for x
    x = 89,240,562,024,382,840,832/4,316,527,354
  6. Step 6: Final answer
    x = 20,674,156,493.34

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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.